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Finding the Third Proportional to 47,935 and 75,199.88

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Solution

The third proportional to 47,935 and 75,199.88 is: 117,972.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,935 : 75,199.88 = 75,199.88 : x
  2. Step 2: Convert to fraction form
    47,935/75,199.88 = 75,199.88/x
  3. Step 3: Cross multiply
    47,935x = 75,199.88 × 75,199.88
  4. Step 4: Simplify right side
    47,935x = 5,655,021,200.02
  5. Step 5: Solve for x
    x = 5,655,021,200.02/47,935
  6. Step 6: Final answer
    x = 117,972.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.