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Finding the Third Proportional to 125,049.75 and 273,817.13

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Solution

The third proportional to 125,049.75 and 273,817.13 is: 599,567.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,049.75 : 273,817.13 = 273,817.13 : x
  2. Step 2: Convert to fraction form
    125,049.75/273,817.13 = 273,817.13/x
  3. Step 3: Cross multiply
    125,049.75x = 273,817.13 × 273,817.13
  4. Step 4: Simplify right side
    125,049.75x = 74,975,817,943.27
  5. Step 5: Solve for x
    x = 74,975,817,943.27/125,049.75
  6. Step 6: Final answer
    x = 599,567.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.