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Finding the Third Proportional to 73,367 and 98,272

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Solution

The third proportional to 73,367 and 98,272 is: 131,631.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,367 : 98,272 = 98,272 : x
  2. Step 2: Convert to fraction form
    73,367/98,272 = 98,272/x
  3. Step 3: Cross multiply
    73,367x = 98,272 × 98,272
  4. Step 4: Simplify right side
    73,367x = 9,657,385,984
  5. Step 5: Solve for x
    x = 9,657,385,984/73,367
  6. Step 6: Final answer
    x = 131,631.20

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.