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Finding the Third Proportional to 115,842 and 173,731

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Solution

The third proportional to 115,842 and 173,731 is: 260,548.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,842 : 173,731 = 173,731 : x
  2. Step 2: Convert to fraction form
    115,842/173,731 = 173,731/x
  3. Step 3: Cross multiply
    115,842x = 173,731 × 173,731
  4. Step 4: Simplify right side
    115,842x = 30,182,460,361
  5. Step 5: Solve for x
    x = 30,182,460,361/115,842
  6. Step 6: Final answer
    x = 260,548.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.