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Finding the Third Proportional to 121,058 and 266,004

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Solution

The third proportional to 121,058 and 266,004 is: 584,497.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,058 : 266,004 = 266,004 : x
  2. Step 2: Convert to fraction form
    121,058/266,004 = 266,004/x
  3. Step 3: Cross multiply
    121,058x = 266,004 × 266,004
  4. Step 4: Simplify right side
    121,058x = 70,758,128,016
  5. Step 5: Solve for x
    x = 70,758,128,016/121,058
  6. Step 6: Final answer
    x = 584,497.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.