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Finding the Third Proportional to 110,780 and 167,490

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Solution

The third proportional to 110,780 and 167,490 is: 253,230.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,780 : 167,490 = 167,490 : x
  2. Step 2: Convert to fraction form
    110,780/167,490 = 167,490/x
  3. Step 3: Cross multiply
    110,780x = 167,490 × 167,490
  4. Step 4: Simplify right side
    110,780x = 28,052,900,100
  5. Step 5: Solve for x
    x = 28,052,900,100/110,780
  6. Step 6: Final answer
    x = 253,230.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.