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Finding the Third Proportional to 75,436.31 and 157,071.66

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Solution

The third proportional to 75,436.31 and 157,071.66 is: 327,050.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,436.31 : 157,071.66 = 157,071.66 : x
  2. Step 2: Convert to fraction form
    75,436.31/157,071.66 = 157,071.66/x
  3. Step 3: Cross multiply
    75,436.31x = 157,071.66 × 157,071.66
  4. Step 4: Simplify right side
    75,436.31x = 24,671,505,197.12
  5. Step 5: Solve for x
    x = 24,671,505,197.12/75,436.31
  6. Step 6: Final answer
    x = 327,050.78

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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.