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Finding the Third Proportional to 61,252 and 134,920

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Solution

The third proportional to 61,252 and 134,920 is: 297,188.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,252 : 134,920 = 134,920 : x
  2. Step 2: Convert to fraction form
    61,252/134,920 = 134,920/x
  3. Step 3: Cross multiply
    61,252x = 134,920 × 134,920
  4. Step 4: Simplify right side
    61,252x = 18,203,406,400
  5. Step 5: Solve for x
    x = 18,203,406,400/61,252
  6. Step 6: Final answer
    x = 297,188.77

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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.