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Finding the Third Proportional to 48,204 and 105,210

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Solution

The third proportional to 48,204 and 105,210 is: 229,631.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,204 : 105,210 = 105,210 : x
  2. Step 2: Convert to fraction form
    48,204/105,210 = 105,210/x
  3. Step 3: Cross multiply
    48,204x = 105,210 × 105,210
  4. Step 4: Simplify right side
    48,204x = 11,069,144,100
  5. Step 5: Solve for x
    x = 11,069,144,100/48,204
  6. Step 6: Final answer
    x = 229,631.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.