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Finding the Third Proportional to 59,132 and 136,751

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Solution

The third proportional to 59,132 and 136,751 is: 316,255.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,132 : 136,751 = 136,751 : x
  2. Step 2: Convert to fraction form
    59,132/136,751 = 136,751/x
  3. Step 3: Cross multiply
    59,132x = 136,751 × 136,751
  4. Step 4: Simplify right side
    59,132x = 18,700,836,001
  5. Step 5: Solve for x
    x = 18,700,836,001/59,132
  6. Step 6: Final answer
    x = 316,255.77

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.