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Finding the Third Proportional to 108,031 and 163,538

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Solution

The third proportional to 108,031 and 163,538 is: 247,564.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,031 : 163,538 = 163,538 : x
  2. Step 2: Convert to fraction form
    108,031/163,538 = 163,538/x
  3. Step 3: Cross multiply
    108,031x = 163,538 × 163,538
  4. Step 4: Simplify right side
    108,031x = 26,744,677,444
  5. Step 5: Solve for x
    x = 26,744,677,444/108,031
  6. Step 6: Final answer
    x = 247,564.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.