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Finding the Third Proportional to 71,755.88 and 157,117.22

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Solution

The third proportional to 71,755.88 and 157,117.22 is: 344,025.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,755.88 : 157,117.22 = 157,117.22 : x
  2. Step 2: Convert to fraction form
    71,755.88/157,117.22 = 157,117.22/x
  3. Step 3: Cross multiply
    71,755.88x = 157,117.22 × 157,117.22
  4. Step 4: Simplify right side
    71,755.88x = 24,685,820,427.74
  5. Step 5: Solve for x
    x = 24,685,820,427.74/71,755.88
  6. Step 6: Final answer
    x = 344,025.08

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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.