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Finding the Third Proportional to 68,305.50 and 103,842

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Solution

The third proportional to 68,305.50 and 103,842 is: 157,866.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,305.50 : 103,842 = 103,842 : x
  2. Step 2: Convert to fraction form
    68,305.50/103,842 = 103,842/x
  3. Step 3: Cross multiply
    68,305.50x = 103,842 × 103,842
  4. Step 4: Simplify right side
    68,305.50x = 10,783,160,964
  5. Step 5: Solve for x
    x = 10,783,160,964/68,305.50
  6. Step 6: Final answer
    x = 157,866.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.