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Finding the Third Proportional to 72,782 and 110,486

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Solution

The third proportional to 72,782 and 110,486 is: 167,722.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,782 : 110,486 = 110,486 : x
  2. Step 2: Convert to fraction form
    72,782/110,486 = 110,486/x
  3. Step 3: Cross multiply
    72,782x = 110,486 × 110,486
  4. Step 4: Simplify right side
    72,782x = 12,207,156,196
  5. Step 5: Solve for x
    x = 12,207,156,196/72,782
  6. Step 6: Final answer
    x = 167,722.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.