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Finding the Third Proportional to 73,894 and 158,290

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Solution

The third proportional to 73,894 and 158,290 is: 339,076.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,894 : 158,290 = 158,290 : x
  2. Step 2: Convert to fraction form
    73,894/158,290 = 158,290/x
  3. Step 3: Cross multiply
    73,894x = 158,290 × 158,290
  4. Step 4: Simplify right side
    73,894x = 25,055,724,100
  5. Step 5: Solve for x
    x = 25,055,724,100/73,894
  6. Step 6: Final answer
    x = 339,076.57

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.