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Finding the Third Proportional to 83,730 and 117,118

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Solution

The third proportional to 83,730 and 117,118 is: 163,819.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,730 : 117,118 = 117,118 : x
  2. Step 2: Convert to fraction form
    83,730/117,118 = 117,118/x
  3. Step 3: Cross multiply
    83,730x = 117,118 × 117,118
  4. Step 4: Simplify right side
    83,730x = 13,716,625,924
  5. Step 5: Solve for x
    x = 13,716,625,924/83,730
  6. Step 6: Final answer
    x = 163,819.73

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.