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Finding the Third Proportional to 47,157 and 72,375.75

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Solution

The third proportional to 47,157 and 72,375.75 is: 111,081.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,157 : 72,375.75 = 72,375.75 : x
  2. Step 2: Convert to fraction form
    47,157/72,375.75 = 72,375.75/x
  3. Step 3: Cross multiply
    47,157x = 72,375.75 × 72,375.75
  4. Step 4: Simplify right side
    47,157x = 5,238,249,188.06
  5. Step 5: Solve for x
    x = 5,238,249,188.06/47,157
  6. Step 6: Final answer
    x = 111,081.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.