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Finding the Third Proportional to 73,936 and 158,942

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Solution

The third proportional to 73,936 and 158,942 is: 341,681.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,936 : 158,942 = 158,942 : x
  2. Step 2: Convert to fraction form
    73,936/158,942 = 158,942/x
  3. Step 3: Cross multiply
    73,936x = 158,942 × 158,942
  4. Step 4: Simplify right side
    73,936x = 25,262,559,364
  5. Step 5: Solve for x
    x = 25,262,559,364/73,936
  6. Step 6: Final answer
    x = 341,681.45

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.