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Finding the Third Proportional to 59,211 and 112,966.31

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Solution

The third proportional to 59,211 and 112,966.31 is: 215,523.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,211 : 112,966.31 = 112,966.31 : x
  2. Step 2: Convert to fraction form
    59,211/112,966.31 = 112,966.31/x
  3. Step 3: Cross multiply
    59,211x = 112,966.31 × 112,966.31
  4. Step 4: Simplify right side
    59,211x = 12,761,387,759.85
  5. Step 5: Solve for x
    x = 12,761,387,759.85/59,211
  6. Step 6: Final answer
    x = 215,523.94

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.