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Finding the Third Proportional to 92,481.75 and 147,025.13

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Solution

The third proportional to 92,481.75 and 147,025.13 is: 233,736.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,481.75 : 147,025.13 = 147,025.13 : x
  2. Step 2: Convert to fraction form
    92,481.75/147,025.13 = 147,025.13/x
  3. Step 3: Cross multiply
    92,481.75x = 147,025.13 × 147,025.13
  4. Step 4: Simplify right side
    92,481.75x = 21,616,387,381.27
  5. Step 5: Solve for x
    x = 21,616,387,381.27/92,481.75
  6. Step 6: Final answer
    x = 233,736.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.