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Finding the Third Proportional to 37,358 and 80,942

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Solution

The third proportional to 37,358 and 80,942 is: 175,373.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,358 : 80,942 = 80,942 : x
  2. Step 2: Convert to fraction form
    37,358/80,942 = 80,942/x
  3. Step 3: Cross multiply
    37,358x = 80,942 × 80,942
  4. Step 4: Simplify right side
    37,358x = 6,551,607,364
  5. Step 5: Solve for x
    x = 6,551,607,364/37,358
  6. Step 6: Final answer
    x = 175,373.61

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.