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Finding the Third Proportional to 107,569 and 150,403

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Solution

The third proportional to 107,569 and 150,403 is: 210,293.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,569 : 150,403 = 150,403 : x
  2. Step 2: Convert to fraction form
    107,569/150,403 = 150,403/x
  3. Step 3: Cross multiply
    107,569x = 150,403 × 150,403
  4. Step 4: Simplify right side
    107,569x = 22,621,062,409
  5. Step 5: Solve for x
    x = 22,621,062,409/107,569
  6. Step 6: Final answer
    x = 210,293.51

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.