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Finding the Third Proportional to 47,967 and 112,038

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Solution

The third proportional to 47,967 and 112,038 is: 261,690.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,967 : 112,038 = 112,038 : x
  2. Step 2: Convert to fraction form
    47,967/112,038 = 112,038/x
  3. Step 3: Cross multiply
    47,967x = 112,038 × 112,038
  4. Step 4: Simplify right side
    47,967x = 12,552,513,444
  5. Step 5: Solve for x
    x = 12,552,513,444/47,967
  6. Step 6: Final answer
    x = 261,690.61

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.