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Finding the Third Proportional to 47,102 and 96,364

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Solution

The third proportional to 47,102 and 96,364 is: 197,147.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,102 : 96,364 = 96,364 : x
  2. Step 2: Convert to fraction form
    47,102/96,364 = 96,364/x
  3. Step 3: Cross multiply
    47,102x = 96,364 × 96,364
  4. Step 4: Simplify right side
    47,102x = 9,286,020,496
  5. Step 5: Solve for x
    x = 9,286,020,496/47,102
  6. Step 6: Final answer
    x = 197,147.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.