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Finding the Third Proportional to 69,506 and 144,868

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Solution

The third proportional to 69,506 and 144,868 is: 301,941.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,506 : 144,868 = 144,868 : x
  2. Step 2: Convert to fraction form
    69,506/144,868 = 144,868/x
  3. Step 3: Cross multiply
    69,506x = 144,868 × 144,868
  4. Step 4: Simplify right side
    69,506x = 20,986,737,424
  5. Step 5: Solve for x
    x = 20,986,737,424/69,506
  6. Step 6: Final answer
    x = 301,941.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.