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Finding the Third Proportional to 48,284 and 103,416

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Solution

The third proportional to 48,284 and 103,416 is: 221,499.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,284 : 103,416 = 103,416 : x
  2. Step 2: Convert to fraction form
    48,284/103,416 = 103,416/x
  3. Step 3: Cross multiply
    48,284x = 103,416 × 103,416
  4. Step 4: Simplify right side
    48,284x = 10,694,869,056
  5. Step 5: Solve for x
    x = 10,694,869,056/48,284
  6. Step 6: Final answer
    x = 221,499.23

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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.