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Finding the Third Proportional to 48,784 and 104,480

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Solution

The third proportional to 48,784 and 104,480 is: 223,763.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,784 : 104,480 = 104,480 : x
  2. Step 2: Convert to fraction form
    48,784/104,480 = 104,480/x
  3. Step 3: Cross multiply
    48,784x = 104,480 × 104,480
  4. Step 4: Simplify right side
    48,784x = 10,916,070,400
  5. Step 5: Solve for x
    x = 10,916,070,400/48,784
  6. Step 6: Final answer
    x = 223,763.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.