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Finding the Third Proportional to 61,372.69 and 83,219.91

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Solution

The third proportional to 61,372.69 and 83,219.91 is: 112,844.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,372.69 : 83,219.91 = 83,219.91 : x
  2. Step 2: Convert to fraction form
    61,372.69/83,219.91 = 83,219.91/x
  3. Step 3: Cross multiply
    61,372.69x = 83,219.91 × 83,219.91
  4. Step 4: Simplify right side
    61,372.69x = 6,925,552,796.26
  5. Step 5: Solve for x
    x = 6,925,552,796.26/61,372.69
  6. Step 6: Final answer
    x = 112,844.22

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.