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Finding the Third Proportional to 72,151.50 and 128,719.50

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Solution

The third proportional to 72,151.50 and 128,719.50 is: 229,637.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,151.50 : 128,719.50 = 128,719.50 : x
  2. Step 2: Convert to fraction form
    72,151.50/128,719.50 = 128,719.50/x
  3. Step 3: Cross multiply
    72,151.50x = 128,719.50 × 128,719.50
  4. Step 4: Simplify right side
    72,151.50x = 16,568,709,680.25
  5. Step 5: Solve for x
    x = 16,568,709,680.25/72,151.50
  6. Step 6: Final answer
    x = 229,637.77

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.