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Finding the Third Proportional to 69,847.31 and 110,648.53

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Solution

The third proportional to 69,847.31 and 110,648.53 is: 175,283.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,847.31 : 110,648.53 = 110,648.53 : x
  2. Step 2: Convert to fraction form
    69,847.31/110,648.53 = 110,648.53/x
  3. Step 3: Cross multiply
    69,847.31x = 110,648.53 × 110,648.53
  4. Step 4: Simplify right side
    69,847.31x = 12,243,097,467.78
  5. Step 5: Solve for x
    x = 12,243,097,467.78/69,847.31
  6. Step 6: Final answer
    x = 175,283.73

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.