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Finding the Third Proportional to 50,878.13 and 81,470.81

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Solution

The third proportional to 50,878.13 and 81,470.81 is: 130,458.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,878.13 : 81,470.81 = 81,470.81 : x
  2. Step 2: Convert to fraction form
    50,878.13/81,470.81 = 81,470.81/x
  3. Step 3: Cross multiply
    50,878.13x = 81,470.81 × 81,470.81
  4. Step 4: Simplify right side
    50,878.13x = 6,637,493,289.41
  5. Step 5: Solve for x
    x = 6,637,493,289.41/50,878.13
  6. Step 6: Final answer
    x = 130,458.69

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.