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Finding the Third Proportional to 124,897.25 and 190,474.50

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Solution

The third proportional to 124,897.25 and 190,474.50 is: 290,483.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,897.25 : 190,474.50 = 190,474.50 : x
  2. Step 2: Convert to fraction form
    124,897.25/190,474.50 = 190,474.50/x
  3. Step 3: Cross multiply
    124,897.25x = 190,474.50 × 190,474.50
  4. Step 4: Simplify right side
    124,897.25x = 36,280,535,150.25
  5. Step 5: Solve for x
    x = 36,280,535,150.25/124,897.25
  6. Step 6: Final answer
    x = 290,483.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.