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Finding the Third Proportional to 71,391.38 and 152,627.63

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Solution

The third proportional to 71,391.38 and 152,627.63 is: 326,302.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,391.38 : 152,627.63 = 152,627.63 : x
  2. Step 2: Convert to fraction form
    71,391.38/152,627.63 = 152,627.63/x
  3. Step 3: Cross multiply
    71,391.38x = 152,627.63 × 152,627.63
  4. Step 4: Simplify right side
    71,391.38x = 23,295,191,913.14
  5. Step 5: Solve for x
    x = 23,295,191,913.14/71,391.38
  6. Step 6: Final answer
    x = 326,302.61

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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.