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Finding the Third Proportional to 57,488 and 123,724

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Solution

The third proportional to 57,488 and 123,724 is: 266,275.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,488 : 123,724 = 123,724 : x
  2. Step 2: Convert to fraction form
    57,488/123,724 = 123,724/x
  3. Step 3: Cross multiply
    57,488x = 123,724 × 123,724
  4. Step 4: Simplify right side
    57,488x = 15,307,628,176
  5. Step 5: Solve for x
    x = 15,307,628,176/57,488
  6. Step 6: Final answer
    x = 266,275.19

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.