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Finding the Third Proportional to 58,535 and 125,957

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Solution

The third proportional to 58,535 and 125,957 is: 271,037.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,535 : 125,957 = 125,957 : x
  2. Step 2: Convert to fraction form
    58,535/125,957 = 125,957/x
  3. Step 3: Cross multiply
    58,535x = 125,957 × 125,957
  4. Step 4: Simplify right side
    58,535x = 15,865,165,849
  5. Step 5: Solve for x
    x = 15,865,165,849/58,535
  6. Step 6: Final answer
    x = 271,037.26

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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.