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Finding the Third Proportional to 86,582 and 129,876

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Solution

The third proportional to 86,582 and 129,876 is: 194,818.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,582 : 129,876 = 129,876 : x
  2. Step 2: Convert to fraction form
    86,582/129,876 = 129,876/x
  3. Step 3: Cross multiply
    86,582x = 129,876 × 129,876
  4. Step 4: Simplify right side
    86,582x = 16,867,775,376
  5. Step 5: Solve for x
    x = 16,867,775,376/86,582
  6. Step 6: Final answer
    x = 194,818.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.