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Finding the Third Proportional to 152,849 and 171,803

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Solution

The third proportional to 152,849 and 171,803 is: 193,107.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,849 : 171,803 = 171,803 : x
  2. Step 2: Convert to fraction form
    152,849/171,803 = 171,803/x
  3. Step 3: Cross multiply
    152,849x = 171,803 × 171,803
  4. Step 4: Simplify right side
    152,849x = 29,516,270,809
  5. Step 5: Solve for x
    x = 29,516,270,809/152,849
  6. Step 6: Final answer
    x = 193,107.39

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.