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Finding the Third Proportional to 71,354 and 110,637

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Solution

The third proportional to 71,354 and 110,637 is: 171,546.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,354 : 110,637 = 110,637 : x
  2. Step 2: Convert to fraction form
    71,354/110,637 = 110,637/x
  3. Step 3: Cross multiply
    71,354x = 110,637 × 110,637
  4. Step 4: Simplify right side
    71,354x = 12,240,545,769
  5. Step 5: Solve for x
    x = 12,240,545,769/71,354
  6. Step 6: Final answer
    x = 171,546.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.