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Finding the Third Proportional to 68,617.13 and 106,342.88

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Solution

The third proportional to 68,617.13 and 106,342.88 is: 164,810.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,617.13 : 106,342.88 = 106,342.88 : x
  2. Step 2: Convert to fraction form
    68,617.13/106,342.88 = 106,342.88/x
  3. Step 3: Cross multiply
    68,617.13x = 106,342.88 × 106,342.88
  4. Step 4: Simplify right side
    68,617.13x = 11,308,807,063.27
  5. Step 5: Solve for x
    x = 11,308,807,063.27/68,617.13
  6. Step 6: Final answer
    x = 164,810.27

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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.