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Finding the Third Proportional to 67,842 and 157,185

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Solution

The third proportional to 67,842 and 157,185 is: 364,186.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,842 : 157,185 = 157,185 : x
  2. Step 2: Convert to fraction form
    67,842/157,185 = 157,185/x
  3. Step 3: Cross multiply
    67,842x = 157,185 × 157,185
  4. Step 4: Simplify right side
    67,842x = 24,707,124,225
  5. Step 5: Solve for x
    x = 24,707,124,225/67,842
  6. Step 6: Final answer
    x = 364,186.26

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.