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Finding the Third Proportional to 63,023.50 and 132,932

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Solution

The third proportional to 63,023.50 and 132,932 is: 280,386.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,023.50 : 132,932 = 132,932 : x
  2. Step 2: Convert to fraction form
    63,023.50/132,932 = 132,932/x
  3. Step 3: Cross multiply
    63,023.50x = 132,932 × 132,932
  4. Step 4: Simplify right side
    63,023.50x = 17,670,916,624
  5. Step 5: Solve for x
    x = 17,670,916,624/63,023.50
  6. Step 6: Final answer
    x = 280,386.15

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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.