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Finding the Third Proportional to 84,714 and 124,607

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Solution

The third proportional to 84,714 and 124,607 is: 183,286.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,714 : 124,607 = 124,607 : x
  2. Step 2: Convert to fraction form
    84,714/124,607 = 124,607/x
  3. Step 3: Cross multiply
    84,714x = 124,607 × 124,607
  4. Step 4: Simplify right side
    84,714x = 15,526,904,449
  5. Step 5: Solve for x
    x = 15,526,904,449/84,714
  6. Step 6: Final answer
    x = 183,286.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.