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Finding the Third Proportional to 80,564 and 124,680

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Solution

The third proportional to 80,564 and 124,680 is: 192,953.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,564 : 124,680 = 124,680 : x
  2. Step 2: Convert to fraction form
    80,564/124,680 = 124,680/x
  3. Step 3: Cross multiply
    80,564x = 124,680 × 124,680
  4. Step 4: Simplify right side
    80,564x = 15,545,102,400
  5. Step 5: Solve for x
    x = 15,545,102,400/80,564
  6. Step 6: Final answer
    x = 192,953.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.