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Finding the Third Proportional to 67,876.50 and 146,202

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Solution

The third proportional to 67,876.50 and 146,202 is: 314,910.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,876.50 : 146,202 = 146,202 : x
  2. Step 2: Convert to fraction form
    67,876.50/146,202 = 146,202/x
  3. Step 3: Cross multiply
    67,876.50x = 146,202 × 146,202
  4. Step 4: Simplify right side
    67,876.50x = 21,375,024,804
  5. Step 5: Solve for x
    x = 21,375,024,804/67,876.50
  6. Step 6: Final answer
    x = 314,910.53

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.