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Finding the Third Proportional to 47,120 and 101,621

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Solution

The third proportional to 47,120 and 101,621 is: 219,160.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,120 : 101,621 = 101,621 : x
  2. Step 2: Convert to fraction form
    47,120/101,621 = 101,621/x
  3. Step 3: Cross multiply
    47,120x = 101,621 × 101,621
  4. Step 4: Simplify right side
    47,120x = 10,326,827,641
  5. Step 5: Solve for x
    x = 10,326,827,641/47,120
  6. Step 6: Final answer
    x = 219,160.18

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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.