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Finding the Third Proportional to 47,720 and 101,594

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Solution

The third proportional to 47,720 and 101,594 is: 216,289.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,720 : 101,594 = 101,594 : x
  2. Step 2: Convert to fraction form
    47,720/101,594 = 101,594/x
  3. Step 3: Cross multiply
    47,720x = 101,594 × 101,594
  4. Step 4: Simplify right side
    47,720x = 10,321,340,836
  5. Step 5: Solve for x
    x = 10,321,340,836/47,720
  6. Step 6: Final answer
    x = 216,289.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.