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Finding the Third Proportional to 42,291 and 91,959

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Solution

The third proportional to 42,291 and 91,959 is: 199,958.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,291 : 91,959 = 91,959 : x
  2. Step 2: Convert to fraction form
    42,291/91,959 = 91,959/x
  3. Step 3: Cross multiply
    42,291x = 91,959 × 91,959
  4. Step 4: Simplify right side
    42,291x = 8,456,457,681
  5. Step 5: Solve for x
    x = 8,456,457,681/42,291
  6. Step 6: Final answer
    x = 199,958.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.