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Finding the Third Proportional to 58,554 and 125,988

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Solution

The third proportional to 58,554 and 125,988 is: 271,082.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,554 : 125,988 = 125,988 : x
  2. Step 2: Convert to fraction form
    58,554/125,988 = 125,988/x
  3. Step 3: Cross multiply
    58,554x = 125,988 × 125,988
  4. Step 4: Simplify right side
    58,554x = 15,872,976,144
  5. Step 5: Solve for x
    x = 15,872,976,144/58,554
  6. Step 6: Final answer
    x = 271,082.70

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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.