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Finding the Third Proportional to 61,299 and 132,274

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Solution

The third proportional to 61,299 and 132,274 is: 285,427.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,299 : 132,274 = 132,274 : x
  2. Step 2: Convert to fraction form
    61,299/132,274 = 132,274/x
  3. Step 3: Cross multiply
    61,299x = 132,274 × 132,274
  4. Step 4: Simplify right side
    61,299x = 17,496,411,076
  5. Step 5: Solve for x
    x = 17,496,411,076/61,299
  6. Step 6: Final answer
    x = 285,427.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.