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Finding the Third Proportional to 71,583 and 110,079

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Solution

The third proportional to 71,583 and 110,079 is: 169,277.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,583 : 110,079 = 110,079 : x
  2. Step 2: Convert to fraction form
    71,583/110,079 = 110,079/x
  3. Step 3: Cross multiply
    71,583x = 110,079 × 110,079
  4. Step 4: Simplify right side
    71,583x = 12,117,386,241
  5. Step 5: Solve for x
    x = 12,117,386,241/71,583
  6. Step 6: Final answer
    x = 169,277.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.