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Finding the Third Proportional to 78,151.08 and 168,142.71

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Solution

The third proportional to 78,151.08 and 168,142.71 is: 361,760.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,151.08 : 168,142.71 = 168,142.71 : x
  2. Step 2: Convert to fraction form
    78,151.08/168,142.71 = 168,142.71/x
  3. Step 3: Cross multiply
    78,151.08x = 168,142.71 × 168,142.71
  4. Step 4: Simplify right side
    78,151.08x = 28,271,971,241.41
  5. Step 5: Solve for x
    x = 28,271,971,241.41/78,151.08
  6. Step 6: Final answer
    x = 361,760.48

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