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Finding the Third Proportional to 59,707 and 125,894

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Solution

The third proportional to 59,707 and 125,894 is: 265,451.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,707 : 125,894 = 125,894 : x
  2. Step 2: Convert to fraction form
    59,707/125,894 = 125,894/x
  3. Step 3: Cross multiply
    59,707x = 125,894 × 125,894
  4. Step 4: Simplify right side
    59,707x = 15,849,299,236
  5. Step 5: Solve for x
    x = 15,849,299,236/59,707
  6. Step 6: Final answer
    x = 265,451.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.