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Finding the Third Proportional to 61,517 and 134,521

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Solution

The third proportional to 61,517 and 134,521 is: 294,160.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,517 : 134,521 = 134,521 : x
  2. Step 2: Convert to fraction form
    61,517/134,521 = 134,521/x
  3. Step 3: Cross multiply
    61,517x = 134,521 × 134,521
  4. Step 4: Simplify right side
    61,517x = 18,095,899,441
  5. Step 5: Solve for x
    x = 18,095,899,441/61,517
  6. Step 6: Final answer
    x = 294,160.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.