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Finding the Third Proportional to 71,725.50 and 153,211.50

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Solution

The third proportional to 71,725.50 and 153,211.50 is: 327,272.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,725.50 : 153,211.50 = 153,211.50 : x
  2. Step 2: Convert to fraction form
    71,725.50/153,211.50 = 153,211.50/x
  3. Step 3: Cross multiply
    71,725.50x = 153,211.50 × 153,211.50
  4. Step 4: Simplify right side
    71,725.50x = 23,473,763,732.25
  5. Step 5: Solve for x
    x = 23,473,763,732.25/71,725.50
  6. Step 6: Final answer
    x = 327,272.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.