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Finding the Third Proportional to 47,420 and 101,587

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Solution

The third proportional to 47,420 and 101,587 is: 217,627.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,420 : 101,587 = 101,587 : x
  2. Step 2: Convert to fraction form
    47,420/101,587 = 101,587/x
  3. Step 3: Cross multiply
    47,420x = 101,587 × 101,587
  4. Step 4: Simplify right side
    47,420x = 10,319,918,569
  5. Step 5: Solve for x
    x = 10,319,918,569/47,420
  6. Step 6: Final answer
    x = 217,627.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.