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Finding the Third Proportional to 62,244 and 134,368

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Solution

The third proportional to 62,244 and 134,368 is: 290,064.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,244 : 134,368 = 134,368 : x
  2. Step 2: Convert to fraction form
    62,244/134,368 = 134,368/x
  3. Step 3: Cross multiply
    62,244x = 134,368 × 134,368
  4. Step 4: Simplify right side
    62,244x = 18,054,759,424
  5. Step 5: Solve for x
    x = 18,054,759,424/62,244
  6. Step 6: Final answer
    x = 290,064.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.