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Finding the Third Proportional to 83,076 and 125,605

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Solution

The third proportional to 83,076 and 125,605 is: 189,905.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,076 : 125,605 = 125,605 : x
  2. Step 2: Convert to fraction form
    83,076/125,605 = 125,605/x
  3. Step 3: Cross multiply
    83,076x = 125,605 × 125,605
  4. Step 4: Simplify right side
    83,076x = 15,776,616,025
  5. Step 5: Solve for x
    x = 15,776,616,025/83,076
  6. Step 6: Final answer
    x = 189,905.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.