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Finding the Third Proportional to 124,647 and 266,781

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Solution

The third proportional to 124,647 and 266,781 is: 570,989.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,647 : 266,781 = 266,781 : x
  2. Step 2: Convert to fraction form
    124,647/266,781 = 266,781/x
  3. Step 3: Cross multiply
    124,647x = 266,781 × 266,781
  4. Step 4: Simplify right side
    124,647x = 71,172,101,961
  5. Step 5: Solve for x
    x = 71,172,101,961/124,647
  6. Step 6: Final answer
    x = 570,989.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.