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Finding the Third Proportional to 61,231 and 134,491

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Solution

The third proportional to 61,231 and 134,491 is: 295,403.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,231 : 134,491 = 134,491 : x
  2. Step 2: Convert to fraction form
    61,231/134,491 = 134,491/x
  3. Step 3: Cross multiply
    61,231x = 134,491 × 134,491
  4. Step 4: Simplify right side
    61,231x = 18,087,829,081
  5. Step 5: Solve for x
    x = 18,087,829,081/61,231
  6. Step 6: Final answer
    x = 295,403.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.