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Finding the Third Proportional to 108,577 and 156,637

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Solution

The third proportional to 108,577 and 156,637 is: 225,970.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,577 : 156,637 = 156,637 : x
  2. Step 2: Convert to fraction form
    108,577/156,637 = 156,637/x
  3. Step 3: Cross multiply
    108,577x = 156,637 × 156,637
  4. Step 4: Simplify right side
    108,577x = 24,535,149,769
  5. Step 5: Solve for x
    x = 24,535,149,769/108,577
  6. Step 6: Final answer
    x = 225,970.05

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.