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Finding the Third Proportional to 47,187 and 72,418

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Solution

The third proportional to 47,187 and 72,418 is: 111,140.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,187 : 72,418 = 72,418 : x
  2. Step 2: Convert to fraction form
    47,187/72,418 = 72,418/x
  3. Step 3: Cross multiply
    47,187x = 72,418 × 72,418
  4. Step 4: Simplify right side
    47,187x = 5,244,366,724
  5. Step 5: Solve for x
    x = 5,244,366,724/47,187
  6. Step 6: Final answer
    x = 111,140.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.