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Finding the Third Proportional to 55,484 and 115,498

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Solution

The third proportional to 55,484 and 115,498 is: 240,425.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,484 : 115,498 = 115,498 : x
  2. Step 2: Convert to fraction form
    55,484/115,498 = 115,498/x
  3. Step 3: Cross multiply
    55,484x = 115,498 × 115,498
  4. Step 4: Simplify right side
    55,484x = 13,339,788,004
  5. Step 5: Solve for x
    x = 13,339,788,004/55,484
  6. Step 6: Final answer
    x = 240,425.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.