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Finding the Third Proportional to 60,745.50 and 93,213

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Solution

The third proportional to 60,745.50 and 93,213 is: 143,033.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,745.50 : 93,213 = 93,213 : x
  2. Step 2: Convert to fraction form
    60,745.50/93,213 = 93,213/x
  3. Step 3: Cross multiply
    60,745.50x = 93,213 × 93,213
  4. Step 4: Simplify right side
    60,745.50x = 8,688,663,369
  5. Step 5: Solve for x
    x = 8,688,663,369/60,745.50
  6. Step 6: Final answer
    x = 143,033.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.