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Finding the Third Proportional to 83,670 and 124,065

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Solution

The third proportional to 83,670 and 124,065 is: 183,962.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,670 : 124,065 = 124,065 : x
  2. Step 2: Convert to fraction form
    83,670/124,065 = 124,065/x
  3. Step 3: Cross multiply
    83,670x = 124,065 × 124,065
  4. Step 4: Simplify right side
    83,670x = 15,392,124,225
  5. Step 5: Solve for x
    x = 15,392,124,225/83,670
  6. Step 6: Final answer
    x = 183,962.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.