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Finding the Third Proportional to 61,976.25 and 134,253

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Solution

The third proportional to 61,976.25 and 134,253 is: 290,818.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,976.25 : 134,253 = 134,253 : x
  2. Step 2: Convert to fraction form
    61,976.25/134,253 = 134,253/x
  3. Step 3: Cross multiply
    61,976.25x = 134,253 × 134,253
  4. Step 4: Simplify right side
    61,976.25x = 18,023,868,009
  5. Step 5: Solve for x
    x = 18,023,868,009/61,976.25
  6. Step 6: Final answer
    x = 290,818.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.