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Finding the Third Proportional to 64,693 and 137,075

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Solution

The third proportional to 64,693 and 137,075 is: 290,441.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,693 : 137,075 = 137,075 : x
  2. Step 2: Convert to fraction form
    64,693/137,075 = 137,075/x
  3. Step 3: Cross multiply
    64,693x = 137,075 × 137,075
  4. Step 4: Simplify right side
    64,693x = 18,789,555,625
  5. Step 5: Solve for x
    x = 18,789,555,625/64,693
  6. Step 6: Final answer
    x = 290,441.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.