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Finding the Third Proportional to 69,153.75 and 103,345.31

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Solution

The third proportional to 69,153.75 and 103,345.31 is: 154,442.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,153.75 : 103,345.31 = 103,345.31 : x
  2. Step 2: Convert to fraction form
    69,153.75/103,345.31 = 103,345.31/x
  3. Step 3: Cross multiply
    69,153.75x = 103,345.31 × 103,345.31
  4. Step 4: Simplify right side
    69,153.75x = 10,680,253,615.72
  5. Step 5: Solve for x
    x = 10,680,253,615.72/69,153.75
  6. Step 6: Final answer
    x = 154,442.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.