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Finding the Third Proportional to 103,474 and 160,272

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Solution

The third proportional to 103,474 and 160,272 is: 248,247.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,474 : 160,272 = 160,272 : x
  2. Step 2: Convert to fraction form
    103,474/160,272 = 160,272/x
  3. Step 3: Cross multiply
    103,474x = 160,272 × 160,272
  4. Step 4: Simplify right side
    103,474x = 25,687,113,984
  5. Step 5: Solve for x
    x = 25,687,113,984/103,474
  6. Step 6: Final answer
    x = 248,247.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.