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Finding the Third Proportional to 69,050.75 and 106,628.75

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Solution

The third proportional to 69,050.75 and 106,628.75 is: 164,657.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,050.75 : 106,628.75 = 106,628.75 : x
  2. Step 2: Convert to fraction form
    69,050.75/106,628.75 = 106,628.75/x
  3. Step 3: Cross multiply
    69,050.75x = 106,628.75 × 106,628.75
  4. Step 4: Simplify right side
    69,050.75x = 11,369,690,326.56
  5. Step 5: Solve for x
    x = 11,369,690,326.56/69,050.75
  6. Step 6: Final answer
    x = 164,657.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.