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Finding the Third Proportional to 47,743.80 and 103,702.15

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Solution

The third proportional to 47,743.80 and 103,702.15 is: 225,246.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,743.80 : 103,702.15 = 103,702.15 : x
  2. Step 2: Convert to fraction form
    47,743.80/103,702.15 = 103,702.15/x
  3. Step 3: Cross multiply
    47,743.80x = 103,702.15 × 103,702.15
  4. Step 4: Simplify right side
    47,743.80x = 10,754,135,590.55
  5. Step 5: Solve for x
    x = 10,754,135,590.55/47,743.80
  6. Step 6: Final answer
    x = 225,246.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.