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Finding the Third Proportional to 114,992 and 158,347

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Solution

The third proportional to 114,992 and 158,347 is: 218,047.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,992 : 158,347 = 158,347 : x
  2. Step 2: Convert to fraction form
    114,992/158,347 = 158,347/x
  3. Step 3: Cross multiply
    114,992x = 158,347 × 158,347
  4. Step 4: Simplify right side
    114,992x = 25,073,772,409
  5. Step 5: Solve for x
    x = 25,073,772,409/114,992
  6. Step 6: Final answer
    x = 218,047.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.