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Finding the Third Proportional to 75,472.88 and 157,071.38

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Solution

The third proportional to 75,472.88 and 157,071.38 is: 326,891.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,472.88 : 157,071.38 = 157,071.38 : x
  2. Step 2: Convert to fraction form
    75,472.88/157,071.38 = 157,071.38/x
  3. Step 3: Cross multiply
    75,472.88x = 157,071.38 × 157,071.38
  4. Step 4: Simplify right side
    75,472.88x = 24,671,416,844.39
  5. Step 5: Solve for x
    x = 24,671,416,844.39/75,472.88
  6. Step 6: Final answer
    x = 326,891.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.