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Finding the Third Proportional to 60,442 and 93,821

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Solution

The third proportional to 60,442 and 93,821 is: 145,633.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,442 : 93,821 = 93,821 : x
  2. Step 2: Convert to fraction form
    60,442/93,821 = 93,821/x
  3. Step 3: Cross multiply
    60,442x = 93,821 × 93,821
  4. Step 4: Simplify right side
    60,442x = 8,802,380,041
  5. Step 5: Solve for x
    x = 8,802,380,041/60,442
  6. Step 6: Final answer
    x = 145,633.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.