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Finding the Third Proportional to 70,454.81 and 151,161.19

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Solution

The third proportional to 70,454.81 and 151,161.19 is: 324,317.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,454.81 : 151,161.19 = 151,161.19 : x
  2. Step 2: Convert to fraction form
    70,454.81/151,161.19 = 151,161.19/x
  3. Step 3: Cross multiply
    70,454.81x = 151,161.19 × 151,161.19
  4. Step 4: Simplify right side
    70,454.81x = 22,849,704,606.41
  5. Step 5: Solve for x
    x = 22,849,704,606.41/70,454.81
  6. Step 6: Final answer
    x = 324,317.16

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Why These Related Problems?

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