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Finding the Third Proportional to 66,102.38 and 100,702.69

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Solution

The third proportional to 66,102.38 and 100,702.69 is: 153,414.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,102.38 : 100,702.69 = 100,702.69 : x
  2. Step 2: Convert to fraction form
    66,102.38/100,702.69 = 100,702.69/x
  3. Step 3: Cross multiply
    66,102.38x = 100,702.69 × 100,702.69
  4. Step 4: Simplify right side
    66,102.38x = 10,141,031,269.72
  5. Step 5: Solve for x
    x = 10,141,031,269.72/66,102.38
  6. Step 6: Final answer
    x = 153,414.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.