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Finding the Third Proportional to 57,732 and 124,091

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Solution

The third proportional to 57,732 and 124,091 is: 266,725.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,732 : 124,091 = 124,091 : x
  2. Step 2: Convert to fraction form
    57,732/124,091 = 124,091/x
  3. Step 3: Cross multiply
    57,732x = 124,091 × 124,091
  4. Step 4: Simplify right side
    57,732x = 15,398,576,281
  5. Step 5: Solve for x
    x = 15,398,576,281/57,732
  6. Step 6: Final answer
    x = 266,725.15

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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.