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Finding the Third Proportional to 69,276.94 and 148,913.44

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Solution

The third proportional to 69,276.94 and 148,913.44 is: 320,095.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,276.94 : 148,913.44 = 148,913.44 : x
  2. Step 2: Convert to fraction form
    69,276.94/148,913.44 = 148,913.44/x
  3. Step 3: Cross multiply
    69,276.94x = 148,913.44 × 148,913.44
  4. Step 4: Simplify right side
    69,276.94x = 22,175,211,868.07
  5. Step 5: Solve for x
    x = 22,175,211,868.07/69,276.94
  6. Step 6: Final answer
    x = 320,095.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.