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Finding the Third Proportional to 94,511.81 and 149,727.66

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Solution

The third proportional to 94,511.81 and 149,727.66 is: 237,201.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,511.81 : 149,727.66 = 149,727.66 : x
  2. Step 2: Convert to fraction form
    94,511.81/149,727.66 = 149,727.66/x
  3. Step 3: Cross multiply
    94,511.81x = 149,727.66 × 149,727.66
  4. Step 4: Simplify right side
    94,511.81x = 22,418,371,046.12
  5. Step 5: Solve for x
    x = 22,418,371,046.12/94,511.81
  6. Step 6: Final answer
    x = 237,201.79

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.