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Finding the Third Proportional to 47,207.81 and 70,171.31

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Solution

The third proportional to 47,207.81 and 70,171.31 is: 104,305.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,207.81 : 70,171.31 = 70,171.31 : x
  2. Step 2: Convert to fraction form
    47,207.81/70,171.31 = 70,171.31/x
  3. Step 3: Cross multiply
    47,207.81x = 70,171.31 × 70,171.31
  4. Step 4: Simplify right side
    47,207.81x = 4,924,013,097.97
  5. Step 5: Solve for x
    x = 4,924,013,097.97/47,207.81
  6. Step 6: Final answer
    x = 104,305.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.