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Finding the Third Proportional to 40,374 and 97,695

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Solution

The third proportional to 40,374 and 97,695 is: 236,397.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,374 : 97,695 = 97,695 : x
  2. Step 2: Convert to fraction form
    40,374/97,695 = 97,695/x
  3. Step 3: Cross multiply
    40,374x = 97,695 × 97,695
  4. Step 4: Simplify right side
    40,374x = 9,544,313,025
  5. Step 5: Solve for x
    x = 9,544,313,025/40,374
  6. Step 6: Final answer
    x = 236,397.51

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.