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Finding the Third Proportional to 125,744.06 and 190,241.16

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Solution

The third proportional to 125,744.06 and 190,241.16 is: 287,820.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,744.06 : 190,241.16 = 190,241.16 : x
  2. Step 2: Convert to fraction form
    125,744.06/190,241.16 = 190,241.16/x
  3. Step 3: Cross multiply
    125,744.06x = 190,241.16 × 190,241.16
  4. Step 4: Simplify right side
    125,744.06x = 36,191,697,531.34
  5. Step 5: Solve for x
    x = 36,191,697,531.34/125,744.06
  6. Step 6: Final answer
    x = 287,820.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.