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Finding the Third Proportional to 42,698 and 93,478

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Solution

The third proportional to 42,698 and 93,478 is: 204,649.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,698 : 93,478 = 93,478 : x
  2. Step 2: Convert to fraction form
    42,698/93,478 = 93,478/x
  3. Step 3: Cross multiply
    42,698x = 93,478 × 93,478
  4. Step 4: Simplify right side
    42,698x = 8,738,136,484
  5. Step 5: Solve for x
    x = 8,738,136,484/42,698
  6. Step 6: Final answer
    x = 204,649.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.