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Finding the Third Proportional to 68,895.56 and 106,464.38

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Solution

The third proportional to 68,895.56 and 106,464.38 is: 164,519.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,895.56 : 106,464.38 = 106,464.38 : x
  2. Step 2: Convert to fraction form
    68,895.56/106,464.38 = 106,464.38/x
  3. Step 3: Cross multiply
    68,895.56x = 106,464.38 × 106,464.38
  4. Step 4: Simplify right side
    68,895.56x = 11,334,663,144.14
  5. Step 5: Solve for x
    x = 11,334,663,144.14/68,895.56
  6. Step 6: Final answer
    x = 164,519.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.