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Finding the Third Proportional to 47,283 and 72,180

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Solution

The third proportional to 47,283 and 72,180 is: 110,186.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,283 : 72,180 = 72,180 : x
  2. Step 2: Convert to fraction form
    47,283/72,180 = 72,180/x
  3. Step 3: Cross multiply
    47,283x = 72,180 × 72,180
  4. Step 4: Simplify right side
    47,283x = 5,209,952,400
  5. Step 5: Solve for x
    x = 5,209,952,400/47,283
  6. Step 6: Final answer
    x = 110,186.59

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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.