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Finding the Third Proportional to 55,528 and 88,812

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Solution

The third proportional to 55,528 and 88,812 is: 142,046.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,528 : 88,812 = 88,812 : x
  2. Step 2: Convert to fraction form
    55,528/88,812 = 88,812/x
  3. Step 3: Cross multiply
    55,528x = 88,812 × 88,812
  4. Step 4: Simplify right side
    55,528x = 7,887,571,344
  5. Step 5: Solve for x
    x = 7,887,571,344/55,528
  6. Step 6: Final answer
    x = 142,046.74

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.