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Finding the Third Proportional to 60,992 and 93,867

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Solution

The third proportional to 60,992 and 93,867 is: 144,461.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,992 : 93,867 = 93,867 : x
  2. Step 2: Convert to fraction form
    60,992/93,867 = 93,867/x
  3. Step 3: Cross multiply
    60,992x = 93,867 × 93,867
  4. Step 4: Simplify right side
    60,992x = 8,811,013,689
  5. Step 5: Solve for x
    x = 8,811,013,689/60,992
  6. Step 6: Final answer
    x = 144,461.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.