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Finding the Third Proportional to 125,739 and 266,004

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Solution

The third proportional to 125,739 and 266,004 is: 562,738.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,739 : 266,004 = 266,004 : x
  2. Step 2: Convert to fraction form
    125,739/266,004 = 266,004/x
  3. Step 3: Cross multiply
    125,739x = 266,004 × 266,004
  4. Step 4: Simplify right side
    125,739x = 70,758,128,016
  5. Step 5: Solve for x
    x = 70,758,128,016/125,739
  6. Step 6: Final answer
    x = 562,738.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.