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Finding the Third Proportional to 92,769 and 144,003

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Solution

The third proportional to 92,769 and 144,003 is: 223,532.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,769 : 144,003 = 144,003 : x
  2. Step 2: Convert to fraction form
    92,769/144,003 = 144,003/x
  3. Step 3: Cross multiply
    92,769x = 144,003 × 144,003
  4. Step 4: Simplify right side
    92,769x = 20,736,864,009
  5. Step 5: Solve for x
    x = 20,736,864,009/92,769
  6. Step 6: Final answer
    x = 223,532.26

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