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Finding the Third Proportional to 47,985.75 and 112,100.63

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Solution

The third proportional to 47,985.75 and 112,100.63 is: 261,880.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,985.75 : 112,100.63 = 112,100.63 : x
  2. Step 2: Convert to fraction form
    47,985.75/112,100.63 = 112,100.63/x
  3. Step 3: Cross multiply
    47,985.75x = 112,100.63 × 112,100.63
  4. Step 4: Simplify right side
    47,985.75x = 12,566,550,125.39
  5. Step 5: Solve for x
    x = 12,566,550,125.39/47,985.75
  6. Step 6: Final answer
    x = 261,880.87

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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.