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Finding the Third Proportional to 71,123.06 and 106,502.34

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Solution

The third proportional to 71,123.06 and 106,502.34 is: 159,480.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,123.06 : 106,502.34 = 106,502.34 : x
  2. Step 2: Convert to fraction form
    71,123.06/106,502.34 = 106,502.34/x
  3. Step 3: Cross multiply
    71,123.06x = 106,502.34 × 106,502.34
  4. Step 4: Simplify right side
    71,123.06x = 11,342,749,224.24
  5. Step 5: Solve for x
    x = 11,342,749,224.24/71,123.06
  6. Step 6: Final answer
    x = 159,480.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.