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Finding the Third Proportional to 61,272 and 130,857

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Solution

The third proportional to 61,272 and 130,857 is: 279,467.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,272 : 130,857 = 130,857 : x
  2. Step 2: Convert to fraction form
    61,272/130,857 = 130,857/x
  3. Step 3: Cross multiply
    61,272x = 130,857 × 130,857
  4. Step 4: Simplify right side
    61,272x = 17,123,554,449
  5. Step 5: Solve for x
    x = 17,123,554,449/61,272
  6. Step 6: Final answer
    x = 279,467.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.