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Finding the Third Proportional to 47,513 and 102,559

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Solution

The third proportional to 47,513 and 102,559 is: 221,378.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,513 : 102,559 = 102,559 : x
  2. Step 2: Convert to fraction form
    47,513/102,559 = 102,559/x
  3. Step 3: Cross multiply
    47,513x = 102,559 × 102,559
  4. Step 4: Simplify right side
    47,513x = 10,518,348,481
  5. Step 5: Solve for x
    x = 10,518,348,481/47,513
  6. Step 6: Final answer
    x = 221,378.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.