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Finding the Third Proportional to 47,050 and 72,074

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Solution

The third proportional to 47,050 and 72,074 is: 110,407.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,050 : 72,074 = 72,074 : x
  2. Step 2: Convert to fraction form
    47,050/72,074 = 72,074/x
  3. Step 3: Cross multiply
    47,050x = 72,074 × 72,074
  4. Step 4: Simplify right side
    47,050x = 5,194,661,476
  5. Step 5: Solve for x
    x = 5,194,661,476/47,050
  6. Step 6: Final answer
    x = 110,407.26

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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.