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Finding the Third Proportional to 61,149.94 and 84,495.38

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Solution

The third proportional to 61,149.94 and 84,495.38 is: 116,753.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,149.94 : 84,495.38 = 84,495.38 : x
  2. Step 2: Convert to fraction form
    61,149.94/84,495.38 = 84,495.38/x
  3. Step 3: Cross multiply
    61,149.94x = 84,495.38 × 84,495.38
  4. Step 4: Simplify right side
    61,149.94x = 7,139,468,396.39
  5. Step 5: Solve for x
    x = 7,139,468,396.39/61,149.94
  6. Step 6: Final answer
    x = 116,753.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.