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Finding the Third Proportional to 62,676 and 94,027.50

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Solution

The third proportional to 62,676 and 94,027.50 is: 141,061.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,676 : 94,027.50 = 94,027.50 : x
  2. Step 2: Convert to fraction form
    62,676/94,027.50 = 94,027.50/x
  3. Step 3: Cross multiply
    62,676x = 94,027.50 × 94,027.50
  4. Step 4: Simplify right side
    62,676x = 8,841,170,756.25
  5. Step 5: Solve for x
    x = 8,841,170,756.25/62,676
  6. Step 6: Final answer
    x = 141,061.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.