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Finding the Third Proportional to 66,481.38 and 147,725.02

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Solution

The third proportional to 66,481.38 and 147,725.02 is: 328,252.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,481.38 : 147,725.02 = 147,725.02 : x
  2. Step 2: Convert to fraction form
    66,481.38/147,725.02 = 147,725.02/x
  3. Step 3: Cross multiply
    66,481.38x = 147,725.02 × 147,725.02
  4. Step 4: Simplify right side
    66,481.38x = 21,822,680,241.41
  5. Step 5: Solve for x
    x = 21,822,680,241.41/66,481.38
  6. Step 6: Final answer
    x = 328,252.50

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.