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Finding the Third Proportional to 72,782 and 97,802

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Solution

The third proportional to 72,782 and 97,802 is: 131,423.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,782 : 97,802 = 97,802 : x
  2. Step 2: Convert to fraction form
    72,782/97,802 = 97,802/x
  3. Step 3: Cross multiply
    72,782x = 97,802 × 97,802
  4. Step 4: Simplify right side
    72,782x = 9,565,231,204
  5. Step 5: Solve for x
    x = 9,565,231,204/72,782
  6. Step 6: Final answer
    x = 131,423.03

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.