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Finding the Third Proportional to 55,689 and 80,461

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Solution

The third proportional to 55,689 and 80,461 is: 116,252.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,689 : 80,461 = 80,461 : x
  2. Step 2: Convert to fraction form
    55,689/80,461 = 80,461/x
  3. Step 3: Cross multiply
    55,689x = 80,461 × 80,461
  4. Step 4: Simplify right side
    55,689x = 6,473,972,521
  5. Step 5: Solve for x
    x = 6,473,972,521/55,689
  6. Step 6: Final answer
    x = 116,252.27

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.