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Finding the Third Proportional to 83,117 and 180,166

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Solution

The third proportional to 83,117 and 180,166 is: 390,531.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,117 : 180,166 = 180,166 : x
  2. Step 2: Convert to fraction form
    83,117/180,166 = 180,166/x
  3. Step 3: Cross multiply
    83,117x = 180,166 × 180,166
  4. Step 4: Simplify right side
    83,117x = 32,459,787,556
  5. Step 5: Solve for x
    x = 32,459,787,556/83,117
  6. Step 6: Final answer
    x = 390,531.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.