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Finding the Third Proportional to 58,975 and 124,607

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Solution

The third proportional to 58,975 and 124,607 is: 263,279.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,975 : 124,607 = 124,607 : x
  2. Step 2: Convert to fraction form
    58,975/124,607 = 124,607/x
  3. Step 3: Cross multiply
    58,975x = 124,607 × 124,607
  4. Step 4: Simplify right side
    58,975x = 15,526,904,449
  5. Step 5: Solve for x
    x = 15,526,904,449/58,975
  6. Step 6: Final answer
    x = 263,279.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.