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Finding the Third Proportional to 40,156 and 86,479

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Solution

The third proportional to 40,156 and 86,479 is: 186,239.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,156 : 86,479 = 86,479 : x
  2. Step 2: Convert to fraction form
    40,156/86,479 = 86,479/x
  3. Step 3: Cross multiply
    40,156x = 86,479 × 86,479
  4. Step 4: Simplify right side
    40,156x = 7,478,617,441
  5. Step 5: Solve for x
    x = 7,478,617,441/40,156
  6. Step 6: Final answer
    x = 186,239.10

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.