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Finding the Third Proportional to 125,003.25 and 190,580.25

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Solution

The third proportional to 125,003.25 and 190,580.25 is: 290,559.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,003.25 : 190,580.25 = 190,580.25 : x
  2. Step 2: Convert to fraction form
    125,003.25/190,580.25 = 190,580.25/x
  3. Step 3: Cross multiply
    125,003.25x = 190,580.25 × 190,580.25
  4. Step 4: Simplify right side
    125,003.25x = 36,320,831,690.06
  5. Step 5: Solve for x
    x = 36,320,831,690.06/125,003.25
  6. Step 6: Final answer
    x = 290,559.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.