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Finding the Third Proportional to 71,240 and 153,901

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Solution

The third proportional to 71,240 and 153,901 is: 332,474.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,240 : 153,901 = 153,901 : x
  2. Step 2: Convert to fraction form
    71,240/153,901 = 153,901/x
  3. Step 3: Cross multiply
    71,240x = 153,901 × 153,901
  4. Step 4: Simplify right side
    71,240x = 23,685,517,801
  5. Step 5: Solve for x
    x = 23,685,517,801/71,240
  6. Step 6: Final answer
    x = 332,474.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.