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Finding the Third Proportional to 69,153.75 and 103,347.14

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Solution

The third proportional to 69,153.75 and 103,347.14 is: 154,447.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,153.75 : 103,347.14 = 103,347.14 : x
  2. Step 2: Convert to fraction form
    69,153.75/103,347.14 = 103,347.14/x
  3. Step 3: Cross multiply
    69,153.75x = 103,347.14 × 103,347.14
  4. Step 4: Simplify right side
    69,153.75x = 10,680,631,475.36
  5. Step 5: Solve for x
    x = 10,680,631,475.36/69,153.75
  6. Step 6: Final answer
    x = 154,447.61

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Why These Related Problems?

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