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Finding the Third Proportional to 47,452 and 97,272

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Solution

The third proportional to 47,452 and 97,272 is: 199,398.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,452 : 97,272 = 97,272 : x
  2. Step 2: Convert to fraction form
    47,452/97,272 = 97,272/x
  3. Step 3: Cross multiply
    47,452x = 97,272 × 97,272
  4. Step 4: Simplify right side
    47,452x = 9,461,841,984
  5. Step 5: Solve for x
    x = 9,461,841,984/47,452
  6. Step 6: Final answer
    x = 199,398.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.