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Finding the Third Proportional to 71,751.45 and 157,097.60

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Solution

The third proportional to 71,751.45 and 157,097.60 is: 343,960.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,751.45 : 157,097.60 = 157,097.60 : x
  2. Step 2: Convert to fraction form
    71,751.45/157,097.60 = 157,097.60/x
  3. Step 3: Cross multiply
    71,751.45x = 157,097.60 × 157,097.60
  4. Step 4: Simplify right side
    71,751.45x = 24,679,656,416.69
  5. Step 5: Solve for x
    x = 24,679,656,416.69/71,751.45
  6. Step 6: Final answer
    x = 343,960.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.