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Finding the Third Proportional to 40,713 and 89,709

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Solution

The third proportional to 40,713 and 89,709 is: 197,669.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,713 : 89,709 = 89,709 : x
  2. Step 2: Convert to fraction form
    40,713/89,709 = 89,709/x
  3. Step 3: Cross multiply
    40,713x = 89,709 × 89,709
  4. Step 4: Simplify right side
    40,713x = 8,047,704,681
  5. Step 5: Solve for x
    x = 8,047,704,681/40,713
  6. Step 6: Final answer
    x = 197,669.16

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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.