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Finding the Third Proportional to 125,865 and 266,310

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Solution

The third proportional to 125,865 and 266,310 is: 563,468.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,865 : 266,310 = 266,310 : x
  2. Step 2: Convert to fraction form
    125,865/266,310 = 266,310/x
  3. Step 3: Cross multiply
    125,865x = 266,310 × 266,310
  4. Step 4: Simplify right side
    125,865x = 70,921,016,100
  5. Step 5: Solve for x
    x = 70,921,016,100/125,865
  6. Step 6: Final answer
    x = 563,468.92

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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.