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Finding the Third Proportional to 47,542 and 102,609

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Solution

The third proportional to 47,542 and 102,609 is: 221,459.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,542 : 102,609 = 102,609 : x
  2. Step 2: Convert to fraction form
    47,542/102,609 = 102,609/x
  3. Step 3: Cross multiply
    47,542x = 102,609 × 102,609
  4. Step 4: Simplify right side
    47,542x = 10,528,606,881
  5. Step 5: Solve for x
    x = 10,528,606,881/47,542
  6. Step 6: Final answer
    x = 221,459.07

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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.