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Finding the Third Proportional to 110,463.50 and 170,003

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Solution

The third proportional to 110,463.50 and 170,003 is: 261,634.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,463.50 : 170,003 = 170,003 : x
  2. Step 2: Convert to fraction form
    110,463.50/170,003 = 170,003/x
  3. Step 3: Cross multiply
    110,463.50x = 170,003 × 170,003
  4. Step 4: Simplify right side
    110,463.50x = 28,901,020,009
  5. Step 5: Solve for x
    x = 28,901,020,009/110,463.50
  6. Step 6: Final answer
    x = 261,634.11

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.