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Finding the Third Proportional to 71,452 and 153,272

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Solution

The third proportional to 71,452 and 153,272 is: 328,784.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,452 : 153,272 = 153,272 : x
  2. Step 2: Convert to fraction form
    71,452/153,272 = 153,272/x
  3. Step 3: Cross multiply
    71,452x = 153,272 × 153,272
  4. Step 4: Simplify right side
    71,452x = 23,492,305,984
  5. Step 5: Solve for x
    x = 23,492,305,984/71,452
  6. Step 6: Final answer
    x = 328,784.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.