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Finding the Third Proportional to 71,132.06 and 148,840.31

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Solution

The third proportional to 71,132.06 and 148,840.31 is: 311,440.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,132.06 : 148,840.31 = 148,840.31 : x
  2. Step 2: Convert to fraction form
    71,132.06/148,840.31 = 148,840.31/x
  3. Step 3: Cross multiply
    71,132.06x = 148,840.31 × 148,840.31
  4. Step 4: Simplify right side
    71,132.06x = 22,153,438,625.10
  5. Step 5: Solve for x
    x = 22,153,438,625.10/71,132.06
  6. Step 6: Final answer
    x = 311,440.97

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.