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Finding the Third Proportional to 69,744 and 151,584

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Solution

The third proportional to 69,744 and 151,584 is: 329,457.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,744 : 151,584 = 151,584 : x
  2. Step 2: Convert to fraction form
    69,744/151,584 = 151,584/x
  3. Step 3: Cross multiply
    69,744x = 151,584 × 151,584
  4. Step 4: Simplify right side
    69,744x = 22,977,709,056
  5. Step 5: Solve for x
    x = 22,977,709,056/69,744
  6. Step 6: Final answer
    x = 329,457.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.