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Finding the Third Proportional to 47,962.50 and 112,026.75

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Solution

The third proportional to 47,962.50 and 112,026.75 is: 261,662.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,962.50 : 112,026.75 = 112,026.75 : x
  2. Step 2: Convert to fraction form
    47,962.50/112,026.75 = 112,026.75/x
  3. Step 3: Cross multiply
    47,962.50x = 112,026.75 × 112,026.75
  4. Step 4: Simplify right side
    47,962.50x = 12,549,992,715.56
  5. Step 5: Solve for x
    x = 12,549,992,715.56/47,962.50
  6. Step 6: Final answer
    x = 261,662.61

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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.