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Finding the Third Proportional to 48,718 and 105,207

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Solution

The third proportional to 48,718 and 105,207 is: 227,195.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,718 : 105,207 = 105,207 : x
  2. Step 2: Convert to fraction form
    48,718/105,207 = 105,207/x
  3. Step 3: Cross multiply
    48,718x = 105,207 × 105,207
  4. Step 4: Simplify right side
    48,718x = 11,068,512,849
  5. Step 5: Solve for x
    x = 11,068,512,849/48,718
  6. Step 6: Final answer
    x = 227,195.55

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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.