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Finding the Third Proportional to 125,870 and 266,320

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Solution

The third proportional to 125,870 and 266,320 is: 563,488.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,870 : 266,320 = 266,320 : x
  2. Step 2: Convert to fraction form
    125,870/266,320 = 266,320/x
  3. Step 3: Cross multiply
    125,870x = 266,320 × 266,320
  4. Step 4: Simplify right side
    125,870x = 70,926,342,400
  5. Step 5: Solve for x
    x = 70,926,342,400/125,870
  6. Step 6: Final answer
    x = 563,488.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.