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Finding the Third Proportional to 69,052.50 and 106,631.44

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Solution

The third proportional to 69,052.50 and 106,631.44 is: 164,661.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,052.50 : 106,631.44 = 106,631.44 : x
  2. Step 2: Convert to fraction form
    69,052.50/106,631.44 = 106,631.44/x
  3. Step 3: Cross multiply
    69,052.50x = 106,631.44 × 106,631.44
  4. Step 4: Simplify right side
    69,052.50x = 11,370,263,463.32
  5. Step 5: Solve for x
    x = 11,370,263,463.32/69,052.50
  6. Step 6: Final answer
    x = 164,661.14

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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.