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Finding the Third Proportional to 108,016 and 158,376

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Solution

The third proportional to 108,016 and 158,376 is: 232,215.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,016 : 158,376 = 158,376 : x
  2. Step 2: Convert to fraction form
    108,016/158,376 = 158,376/x
  3. Step 3: Cross multiply
    108,016x = 158,376 × 158,376
  4. Step 4: Simplify right side
    108,016x = 25,082,957,376
  5. Step 5: Solve for x
    x = 25,082,957,376/108,016
  6. Step 6: Final answer
    x = 232,215.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.