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Finding the Third Proportional to 77,802 and 85,822

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Solution

The third proportional to 77,802 and 85,822 is: 94,668.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,802 : 85,822 = 85,822 : x
  2. Step 2: Convert to fraction form
    77,802/85,822 = 85,822/x
  3. Step 3: Cross multiply
    77,802x = 85,822 × 85,822
  4. Step 4: Simplify right side
    77,802x = 7,365,415,684
  5. Step 5: Solve for x
    x = 7,365,415,684/77,802
  6. Step 6: Final answer
    x = 94,668.72

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.