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Finding the Third Proportional to 47,604 and 101,958

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Solution

The third proportional to 47,604 and 101,958 is: 218,373.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,604 : 101,958 = 101,958 : x
  2. Step 2: Convert to fraction form
    47,604/101,958 = 101,958/x
  3. Step 3: Cross multiply
    47,604x = 101,958 × 101,958
  4. Step 4: Simplify right side
    47,604x = 10,395,433,764
  5. Step 5: Solve for x
    x = 10,395,433,764/47,604
  6. Step 6: Final answer
    x = 218,373.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.