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Finding the Third Proportional to 108,744 and 158,382

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Solution

The third proportional to 108,744 and 158,382 is: 230,678.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,744 : 158,382 = 158,382 : x
  2. Step 2: Convert to fraction form
    108,744/158,382 = 158,382/x
  3. Step 3: Cross multiply
    108,744x = 158,382 × 158,382
  4. Step 4: Simplify right side
    108,744x = 25,084,857,924
  5. Step 5: Solve for x
    x = 25,084,857,924/108,744
  6. Step 6: Final answer
    x = 230,678.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.