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Finding the Third Proportional to 125,680 and 260,108

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Solution

The third proportional to 125,680 and 260,108 is: 538,320.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,680 : 260,108 = 260,108 : x
  2. Step 2: Convert to fraction form
    125,680/260,108 = 260,108/x
  3. Step 3: Cross multiply
    125,680x = 260,108 × 260,108
  4. Step 4: Simplify right side
    125,680x = 67,656,171,664
  5. Step 5: Solve for x
    x = 67,656,171,664/125,680
  6. Step 6: Final answer
    x = 538,320.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.