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Finding the Third Proportional to 68,495.81 and 107,476.78

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Solution

The third proportional to 68,495.81 and 107,476.78 is: 168,641.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,495.81 : 107,476.78 = 107,476.78 : x
  2. Step 2: Convert to fraction form
    68,495.81/107,476.78 = 107,476.78/x
  3. Step 3: Cross multiply
    68,495.81x = 107,476.78 × 107,476.78
  4. Step 4: Simplify right side
    68,495.81x = 11,551,258,507.86
  5. Step 5: Solve for x
    x = 11,551,258,507.86/68,495.81
  6. Step 6: Final answer
    x = 168,641.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.