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Finding the Third Proportional to 69,263 and 105,353

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Solution

The third proportional to 69,263 and 105,353 is: 160,247.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,263 : 105,353 = 105,353 : x
  2. Step 2: Convert to fraction form
    69,263/105,353 = 105,353/x
  3. Step 3: Cross multiply
    69,263x = 105,353 × 105,353
  4. Step 4: Simplify right side
    69,263x = 11,099,254,609
  5. Step 5: Solve for x
    x = 11,099,254,609/69,263
  6. Step 6: Final answer
    x = 160,247.96

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.