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Finding the Third Proportional to 71,502.66 and 156,742.41

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Solution

The third proportional to 71,502.66 and 156,742.41 is: 343,598.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,502.66 : 156,742.41 = 156,742.41 : x
  2. Step 2: Convert to fraction form
    71,502.66/156,742.41 = 156,742.41/x
  3. Step 3: Cross multiply
    71,502.66x = 156,742.41 × 156,742.41
  4. Step 4: Simplify right side
    71,502.66x = 24,568,181,917.04
  5. Step 5: Solve for x
    x = 24,568,181,917.04/71,502.66
  6. Step 6: Final answer
    x = 343,598.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.