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Finding the Third Proportional to 47,102 and 102,952

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Solution

The third proportional to 47,102 and 102,952 is: 225,024.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,102 : 102,952 = 102,952 : x
  2. Step 2: Convert to fraction form
    47,102/102,952 = 102,952/x
  3. Step 3: Cross multiply
    47,102x = 102,952 × 102,952
  4. Step 4: Simplify right side
    47,102x = 10,599,114,304
  5. Step 5: Solve for x
    x = 10,599,114,304/47,102
  6. Step 6: Final answer
    x = 225,024.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.