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Finding the Third Proportional to 125,524 and 268,316

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Solution

The third proportional to 125,524 and 268,316 is: 573,543.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,524 : 268,316 = 268,316 : x
  2. Step 2: Convert to fraction form
    125,524/268,316 = 268,316/x
  3. Step 3: Cross multiply
    125,524x = 268,316 × 268,316
  4. Step 4: Simplify right side
    125,524x = 71,993,475,856
  5. Step 5: Solve for x
    x = 71,993,475,856/125,524
  6. Step 6: Final answer
    x = 573,543.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.