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Finding the Third Proportional to 61,834.50 and 137,061

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Solution

The third proportional to 61,834.50 and 137,061 is: 303,806.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,834.50 : 137,061 = 137,061 : x
  2. Step 2: Convert to fraction form
    61,834.50/137,061 = 137,061/x
  3. Step 3: Cross multiply
    61,834.50x = 137,061 × 137,061
  4. Step 4: Simplify right side
    61,834.50x = 18,785,717,721
  5. Step 5: Solve for x
    x = 18,785,717,721/61,834.50
  6. Step 6: Final answer
    x = 303,806.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.