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Finding the Third Proportional to 83,257.88 and 112,858.31

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Solution

The third proportional to 83,257.88 and 112,858.31 is: 152,982.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,257.88 : 112,858.31 = 112,858.31 : x
  2. Step 2: Convert to fraction form
    83,257.88/112,858.31 = 112,858.31/x
  3. Step 3: Cross multiply
    83,257.88x = 112,858.31 × 112,858.31
  4. Step 4: Simplify right side
    83,257.88x = 12,736,998,700.35
  5. Step 5: Solve for x
    x = 12,736,998,700.35/83,257.88
  6. Step 6: Final answer
    x = 152,982.51

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.