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Finding the Third Proportional to 47,525 and 102,070

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Solution

The third proportional to 47,525 and 102,070 is: 219,216.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,525 : 102,070 = 102,070 : x
  2. Step 2: Convert to fraction form
    47,525/102,070 = 102,070/x
  3. Step 3: Cross multiply
    47,525x = 102,070 × 102,070
  4. Step 4: Simplify right side
    47,525x = 10,418,284,900
  5. Step 5: Solve for x
    x = 10,418,284,900/47,525
  6. Step 6: Final answer
    x = 219,216.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.