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Finding the Third Proportional to 68,424.75 and 108,963

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Solution

The third proportional to 68,424.75 and 108,963 is: 173,518.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,424.75 : 108,963 = 108,963 : x
  2. Step 2: Convert to fraction form
    68,424.75/108,963 = 108,963/x
  3. Step 3: Cross multiply
    68,424.75x = 108,963 × 108,963
  4. Step 4: Simplify right side
    68,424.75x = 11,872,935,369
  5. Step 5: Solve for x
    x = 11,872,935,369/68,424.75
  6. Step 6: Final answer
    x = 173,518.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.