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Finding the Third Proportional to 47,201 and 72,917

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Solution

The third proportional to 47,201 and 72,917 is: 112,643.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,201 : 72,917 = 72,917 : x
  2. Step 2: Convert to fraction form
    47,201/72,917 = 72,917/x
  3. Step 3: Cross multiply
    47,201x = 72,917 × 72,917
  4. Step 4: Simplify right side
    47,201x = 5,316,888,889
  5. Step 5: Solve for x
    x = 5,316,888,889/47,201
  6. Step 6: Final answer
    x = 112,643.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.