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Finding the Third Proportional to 125,780 and 266,086

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Solution

The third proportional to 125,780 and 266,086 is: 562,901.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,780 : 266,086 = 266,086 : x
  2. Step 2: Convert to fraction form
    125,780/266,086 = 266,086/x
  3. Step 3: Cross multiply
    125,780x = 266,086 × 266,086
  4. Step 4: Simplify right side
    125,780x = 70,801,759,396
  5. Step 5: Solve for x
    x = 70,801,759,396/125,780
  6. Step 6: Final answer
    x = 562,901.57

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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.