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Finding the Third Proportional to 82,917 and 112,590

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Solution

The third proportional to 82,917 and 112,590 is: 152,881.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,917 : 112,590 = 112,590 : x
  2. Step 2: Convert to fraction form
    82,917/112,590 = 112,590/x
  3. Step 3: Cross multiply
    82,917x = 112,590 × 112,590
  4. Step 4: Simplify right side
    82,917x = 12,676,508,100
  5. Step 5: Solve for x
    x = 12,676,508,100/82,917
  6. Step 6: Final answer
    x = 152,881.90

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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.