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Finding the Third Proportional to 44,320 and 94,496

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Solution

The third proportional to 44,320 and 94,496 is: 201,477.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,320 : 94,496 = 94,496 : x
  2. Step 2: Convert to fraction form
    44,320/94,496 = 94,496/x
  3. Step 3: Cross multiply
    44,320x = 94,496 × 94,496
  4. Step 4: Simplify right side
    44,320x = 8,929,494,016
  5. Step 5: Solve for x
    x = 8,929,494,016/44,320
  6. Step 6: Final answer
    x = 201,477.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.