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Finding the Third Proportional to 86,691 and 128,713.50

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Solution

The third proportional to 86,691 and 128,713.50 is: 191,105.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,691 : 128,713.50 = 128,713.50 : x
  2. Step 2: Convert to fraction form
    86,691/128,713.50 = 128,713.50/x
  3. Step 3: Cross multiply
    86,691x = 128,713.50 × 128,713.50
  4. Step 4: Simplify right side
    86,691x = 16,567,165,082.25
  5. Step 5: Solve for x
    x = 16,567,165,082.25/86,691
  6. Step 6: Final answer
    x = 191,105.94

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.