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Finding the Third Proportional to 72,619.50 and 151,890

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Solution

The third proportional to 72,619.50 and 151,890 is: 317,691.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,619.50 : 151,890 = 151,890 : x
  2. Step 2: Convert to fraction form
    72,619.50/151,890 = 151,890/x
  3. Step 3: Cross multiply
    72,619.50x = 151,890 × 151,890
  4. Step 4: Simplify right side
    72,619.50x = 23,070,572,100
  5. Step 5: Solve for x
    x = 23,070,572,100/72,619.50
  6. Step 6: Final answer
    x = 317,691.14

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.