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Finding the Third Proportional to 108,023 and 158,386

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Solution

The third proportional to 108,023 and 158,386 is: 232,229.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,023 : 158,386 = 158,386 : x
  2. Step 2: Convert to fraction form
    108,023/158,386 = 158,386/x
  3. Step 3: Cross multiply
    108,023x = 158,386 × 158,386
  4. Step 4: Simplify right side
    108,023x = 25,086,124,996
  5. Step 5: Solve for x
    x = 25,086,124,996/108,023
  6. Step 6: Final answer
    x = 232,229.48

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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.