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Finding the Third Proportional to 77,442 and 116,811

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Solution

The third proportional to 77,442 and 116,811 is: 176,193.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,442 : 116,811 = 116,811 : x
  2. Step 2: Convert to fraction form
    77,442/116,811 = 116,811/x
  3. Step 3: Cross multiply
    77,442x = 116,811 × 116,811
  4. Step 4: Simplify right side
    77,442x = 13,644,809,721
  5. Step 5: Solve for x
    x = 13,644,809,721/77,442
  6. Step 6: Final answer
    x = 176,193.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.