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Finding the Third Proportional to 42,498 and 93,576

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Solution

The third proportional to 42,498 and 93,576 is: 206,044.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,498 : 93,576 = 93,576 : x
  2. Step 2: Convert to fraction form
    42,498/93,576 = 93,576/x
  3. Step 3: Cross multiply
    42,498x = 93,576 × 93,576
  4. Step 4: Simplify right side
    42,498x = 8,756,467,776
  5. Step 5: Solve for x
    x = 8,756,467,776/42,498
  6. Step 6: Final answer
    x = 206,044.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.