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Finding the Third Proportional to 61,371 and 132,399

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Solution

The third proportional to 61,371 and 132,399 is: 285,631.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,371 : 132,399 = 132,399 : x
  2. Step 2: Convert to fraction form
    61,371/132,399 = 132,399/x
  3. Step 3: Cross multiply
    61,371x = 132,399 × 132,399
  4. Step 4: Simplify right side
    61,371x = 17,529,495,201
  5. Step 5: Solve for x
    x = 17,529,495,201/61,371
  6. Step 6: Final answer
    x = 285,631.57

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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.