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Finding the Third Proportional to 59,864 and 125,928

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Solution

The third proportional to 59,864 and 125,928 is: 264,898.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,864 : 125,928 = 125,928 : x
  2. Step 2: Convert to fraction form
    59,864/125,928 = 125,928/x
  3. Step 3: Cross multiply
    59,864x = 125,928 × 125,928
  4. Step 4: Simplify right side
    59,864x = 15,857,861,184
  5. Step 5: Solve for x
    x = 15,857,861,184/59,864
  6. Step 6: Final answer
    x = 264,898.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.