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Finding the Third Proportional to 68,769 and 105,197.63

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Solution

The third proportional to 68,769 and 105,197.63 is: 160,923.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,769 : 105,197.63 = 105,197.63 : x
  2. Step 2: Convert to fraction form
    68,769/105,197.63 = 105,197.63/x
  3. Step 3: Cross multiply
    68,769x = 105,197.63 × 105,197.63
  4. Step 4: Simplify right side
    68,769x = 11,066,540,305.64
  5. Step 5: Solve for x
    x = 11,066,540,305.64/68,769
  6. Step 6: Final answer
    x = 160,923.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.