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Finding the Third Proportional to 40,716 and 89,716

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Solution

The third proportional to 40,716 and 89,716 is: 197,685.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,716 : 89,716 = 89,716 : x
  2. Step 2: Convert to fraction form
    40,716/89,716 = 89,716/x
  3. Step 3: Cross multiply
    40,716x = 89,716 × 89,716
  4. Step 4: Simplify right side
    40,716x = 8,048,960,656
  5. Step 5: Solve for x
    x = 8,048,960,656/40,716
  6. Step 6: Final answer
    x = 197,685.45

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.