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Finding the Third Proportional to 84,680 and 124,681

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Solution

The third proportional to 84,680 and 124,681 is: 183,577.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,680 : 124,681 = 124,681 : x
  2. Step 2: Convert to fraction form
    84,680/124,681 = 124,681/x
  3. Step 3: Cross multiply
    84,680x = 124,681 × 124,681
  4. Step 4: Simplify right side
    84,680x = 15,545,351,761
  5. Step 5: Solve for x
    x = 15,545,351,761/84,680
  6. Step 6: Final answer
    x = 183,577.61

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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.