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Finding the Third Proportional to 47,657.25 and 103,159.69

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Solution

The third proportional to 47,657.25 and 103,159.69 is: 223,301.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,657.25 : 103,159.69 = 103,159.69 : x
  2. Step 2: Convert to fraction form
    47,657.25/103,159.69 = 103,159.69/x
  3. Step 3: Cross multiply
    47,657.25x = 103,159.69 × 103,159.69
  4. Step 4: Simplify right side
    47,657.25x = 10,641,921,125.10
  5. Step 5: Solve for x
    x = 10,641,921,125.10/47,657.25
  6. Step 6: Final answer
    x = 223,301.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.