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Finding the Third Proportional to 71,750.81 and 149,402.60

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Solution

The third proportional to 71,750.81 and 149,402.60 is: 311,092.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,750.81 : 149,402.60 = 149,402.60 : x
  2. Step 2: Convert to fraction form
    71,750.81/149,402.60 = 149,402.60/x
  3. Step 3: Cross multiply
    71,750.81x = 149,402.60 × 149,402.60
  4. Step 4: Simplify right side
    71,750.81x = 22,321,137,353.64
  5. Step 5: Solve for x
    x = 22,321,137,353.64/71,750.81
  6. Step 6: Final answer
    x = 311,092.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.