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Finding the Third Proportional to 45,084 and 97,945

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Solution

The third proportional to 45,084 and 97,945 is: 212,785.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,084 : 97,945 = 97,945 : x
  2. Step 2: Convert to fraction form
    45,084/97,945 = 97,945/x
  3. Step 3: Cross multiply
    45,084x = 97,945 × 97,945
  4. Step 4: Simplify right side
    45,084x = 9,593,223,025
  5. Step 5: Solve for x
    x = 9,593,223,025/45,084
  6. Step 6: Final answer
    x = 212,785.53

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Why These Related Problems?

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