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Finding the Third Proportional to 57,228.75 and 123,490.13

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Solution

The third proportional to 57,228.75 and 123,490.13 is: 266,471.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,228.75 : 123,490.13 = 123,490.13 : x
  2. Step 2: Convert to fraction form
    57,228.75/123,490.13 = 123,490.13/x
  3. Step 3: Cross multiply
    57,228.75x = 123,490.13 × 123,490.13
  4. Step 4: Simplify right side
    57,228.75x = 15,249,810,972.52
  5. Step 5: Solve for x
    x = 15,249,810,972.52/57,228.75
  6. Step 6: Final answer
    x = 266,471.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.