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Finding the Third Proportional to 47,412 and 73,068

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Solution

The third proportional to 47,412 and 73,068 is: 112,607.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,412 : 73,068 = 73,068 : x
  2. Step 2: Convert to fraction form
    47,412/73,068 = 73,068/x
  3. Step 3: Cross multiply
    47,412x = 73,068 × 73,068
  4. Step 4: Simplify right side
    47,412x = 5,338,932,624
  5. Step 5: Solve for x
    x = 5,338,932,624/47,412
  6. Step 6: Final answer
    x = 112,607.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.