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Finding the Third Proportional to 55,966 and 84,488

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Solution

The third proportional to 55,966 and 84,488 is: 127,545.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,966 : 84,488 = 84,488 : x
  2. Step 2: Convert to fraction form
    55,966/84,488 = 84,488/x
  3. Step 3: Cross multiply
    55,966x = 84,488 × 84,488
  4. Step 4: Simplify right side
    55,966x = 7,138,222,144
  5. Step 5: Solve for x
    x = 7,138,222,144/55,966
  6. Step 6: Final answer
    x = 127,545.69

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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.