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Finding the Third Proportional to 49,212 and 76,347

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Solution

The third proportional to 49,212 and 76,347 is: 118,443.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,212 : 76,347 = 76,347 : x
  2. Step 2: Convert to fraction form
    49,212/76,347 = 76,347/x
  3. Step 3: Cross multiply
    49,212x = 76,347 × 76,347
  4. Step 4: Simplify right side
    49,212x = 5,828,864,409
  5. Step 5: Solve for x
    x = 5,828,864,409/49,212
  6. Step 6: Final answer
    x = 118,443.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.