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Finding the Third Proportional to 47,006 and 102,587

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Solution

The third proportional to 47,006 and 102,587 is: 223,888.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,006 : 102,587 = 102,587 : x
  2. Step 2: Convert to fraction form
    47,006/102,587 = 102,587/x
  3. Step 3: Cross multiply
    47,006x = 102,587 × 102,587
  4. Step 4: Simplify right side
    47,006x = 10,524,092,569
  5. Step 5: Solve for x
    x = 10,524,092,569/47,006
  6. Step 6: Final answer
    x = 223,888.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.