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Finding the Third Proportional to 106,766 and 247,137

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Solution

The third proportional to 106,766 and 247,137 is: 572,061.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,766 : 247,137 = 247,137 : x
  2. Step 2: Convert to fraction form
    106,766/247,137 = 247,137/x
  3. Step 3: Cross multiply
    106,766x = 247,137 × 247,137
  4. Step 4: Simplify right side
    106,766x = 61,076,696,769
  5. Step 5: Solve for x
    x = 61,076,696,769/106,766
  6. Step 6: Final answer
    x = 572,061.30

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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.