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Finding the Third Proportional to 63,281.75 and 84,352

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Solution

The third proportional to 63,281.75 and 84,352 is: 112,437.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,281.75 : 84,352 = 84,352 : x
  2. Step 2: Convert to fraction form
    63,281.75/84,352 = 84,352/x
  3. Step 3: Cross multiply
    63,281.75x = 84,352 × 84,352
  4. Step 4: Simplify right side
    63,281.75x = 7,115,259,904
  5. Step 5: Solve for x
    x = 7,115,259,904/63,281.75
  6. Step 6: Final answer
    x = 112,437.79

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.