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Finding the Third Proportional to 47,134 and 97,548

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Solution

The third proportional to 47,134 and 97,548 is: 201,884.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,134 : 97,548 = 97,548 : x
  2. Step 2: Convert to fraction form
    47,134/97,548 = 97,548/x
  3. Step 3: Cross multiply
    47,134x = 97,548 × 97,548
  4. Step 4: Simplify right side
    47,134x = 9,515,612,304
  5. Step 5: Solve for x
    x = 9,515,612,304/47,134
  6. Step 6: Final answer
    x = 201,884.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.