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Finding the Third Proportional to 61,796 and 134,920

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Solution

The third proportional to 61,796 and 134,920 is: 294,572.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,796 : 134,920 = 134,920 : x
  2. Step 2: Convert to fraction form
    61,796/134,920 = 134,920/x
  3. Step 3: Cross multiply
    61,796x = 134,920 × 134,920
  4. Step 4: Simplify right side
    61,796x = 18,203,406,400
  5. Step 5: Solve for x
    x = 18,203,406,400/61,796
  6. Step 6: Final answer
    x = 294,572.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.