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Finding the Third Proportional to 62,523 and 93,559.50

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Solution

The third proportional to 62,523 and 93,559.50 is: 140,002.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,523 : 93,559.50 = 93,559.50 : x
  2. Step 2: Convert to fraction form
    62,523/93,559.50 = 93,559.50/x
  3. Step 3: Cross multiply
    62,523x = 93,559.50 × 93,559.50
  4. Step 4: Simplify right side
    62,523x = 8,753,380,040.25
  5. Step 5: Solve for x
    x = 8,753,380,040.25/62,523
  6. Step 6: Final answer
    x = 140,002.56

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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.