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Finding the Third Proportional to 55,692 and 87,498

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Solution

The third proportional to 55,692 and 87,498 is: 137,468.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,692 : 87,498 = 87,498 : x
  2. Step 2: Convert to fraction form
    55,692/87,498 = 87,498/x
  3. Step 3: Cross multiply
    55,692x = 87,498 × 87,498
  4. Step 4: Simplify right side
    55,692x = 7,655,900,004
  5. Step 5: Solve for x
    x = 7,655,900,004/55,692
  6. Step 6: Final answer
    x = 137,468.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.