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Finding the Third Proportional to 67,633 and 97,959

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Solution

The third proportional to 67,633 and 97,959 is: 141,882.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,633 : 97,959 = 97,959 : x
  2. Step 2: Convert to fraction form
    67,633/97,959 = 97,959/x
  3. Step 3: Cross multiply
    67,633x = 97,959 × 97,959
  4. Step 4: Simplify right side
    67,633x = 9,595,965,681
  5. Step 5: Solve for x
    x = 9,595,965,681/67,633
  6. Step 6: Final answer
    x = 141,882.89

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.