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Finding the Third Proportional to 57,888 and 124,488

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Solution

The third proportional to 57,888 and 124,488 is: 267,711.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,888 : 124,488 = 124,488 : x
  2. Step 2: Convert to fraction form
    57,888/124,488 = 124,488/x
  3. Step 3: Cross multiply
    57,888x = 124,488 × 124,488
  4. Step 4: Simplify right side
    57,888x = 15,497,262,144
  5. Step 5: Solve for x
    x = 15,497,262,144/57,888
  6. Step 6: Final answer
    x = 267,711.13

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Why These Related Problems?

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