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Finding the Third Proportional to 97,146 and 149,872

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Solution

The third proportional to 97,146 and 149,872 is: 231,215.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,146 : 149,872 = 149,872 : x
  2. Step 2: Convert to fraction form
    97,146/149,872 = 149,872/x
  3. Step 3: Cross multiply
    97,146x = 149,872 × 149,872
  4. Step 4: Simplify right side
    97,146x = 22,461,616,384
  5. Step 5: Solve for x
    x = 22,461,616,384/97,146
  6. Step 6: Final answer
    x = 231,215.04

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.