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Finding the Third Proportional to 106,770 and 247,147

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Solution

The third proportional to 106,770 and 247,147 is: 572,086.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,770 : 247,147 = 247,147 : x
  2. Step 2: Convert to fraction form
    106,770/247,147 = 247,147/x
  3. Step 3: Cross multiply
    106,770x = 247,147 × 247,147
  4. Step 4: Simplify right side
    106,770x = 61,081,639,609
  5. Step 5: Solve for x
    x = 61,081,639,609/106,770
  6. Step 6: Final answer
    x = 572,086.16

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.