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Finding the Third Proportional to 37,368 and 87,318

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Solution

The third proportional to 37,368 and 87,318 is: 204,036.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,368 : 87,318 = 87,318 : x
  2. Step 2: Convert to fraction form
    37,368/87,318 = 87,318/x
  3. Step 3: Cross multiply
    37,368x = 87,318 × 87,318
  4. Step 4: Simplify right side
    37,368x = 7,624,433,124
  5. Step 5: Solve for x
    x = 7,624,433,124/37,368
  6. Step 6: Final answer
    x = 204,036.42

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.