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Finding the Third Proportional to 72,316.13 and 155,732.63

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Solution

The third proportional to 72,316.13 and 155,732.63 is: 335,369.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,316.13 : 155,732.63 = 155,732.63 : x
  2. Step 2: Convert to fraction form
    72,316.13/155,732.63 = 155,732.63/x
  3. Step 3: Cross multiply
    72,316.13x = 155,732.63 × 155,732.63
  4. Step 4: Simplify right side
    72,316.13x = 24,252,650,489.39
  5. Step 5: Solve for x
    x = 24,252,650,489.39/72,316.13
  6. Step 6: Final answer
    x = 335,369.88

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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.