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Finding the Third Proportional to 110,372 and 152,350

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Solution

The third proportional to 110,372 and 152,350 is: 210,293.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,372 : 152,350 = 152,350 : x
  2. Step 2: Convert to fraction form
    110,372/152,350 = 152,350/x
  3. Step 3: Cross multiply
    110,372x = 152,350 × 152,350
  4. Step 4: Simplify right side
    110,372x = 23,210,522,500
  5. Step 5: Solve for x
    x = 23,210,522,500/110,372
  6. Step 6: Final answer
    x = 210,293.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.