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Finding the Third Proportional to 58,498 and 91,163

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Solution

The third proportional to 58,498 and 91,163 is: 142,067.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,498 : 91,163 = 91,163 : x
  2. Step 2: Convert to fraction form
    58,498/91,163 = 91,163/x
  3. Step 3: Cross multiply
    58,498x = 91,163 × 91,163
  4. Step 4: Simplify right side
    58,498x = 8,310,692,569
  5. Step 5: Solve for x
    x = 8,310,692,569/58,498
  6. Step 6: Final answer
    x = 142,067.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.