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Finding the Third Proportional to 47,569 and 74,078

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Solution

The third proportional to 47,569 and 74,078 is: 115,359.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,569 : 74,078 = 74,078 : x
  2. Step 2: Convert to fraction form
    47,569/74,078 = 74,078/x
  3. Step 3: Cross multiply
    47,569x = 74,078 × 74,078
  4. Step 4: Simplify right side
    47,569x = 5,487,550,084
  5. Step 5: Solve for x
    x = 5,487,550,084/47,569
  6. Step 6: Final answer
    x = 115,359.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.