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Finding the Third Proportional to 125,967 and 266,154

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Solution

The third proportional to 125,967 and 266,154 is: 562,353.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,967 : 266,154 = 266,154 : x
  2. Step 2: Convert to fraction form
    125,967/266,154 = 266,154/x
  3. Step 3: Cross multiply
    125,967x = 266,154 × 266,154
  4. Step 4: Simplify right side
    125,967x = 70,837,951,716
  5. Step 5: Solve for x
    x = 70,837,951,716/125,967
  6. Step 6: Final answer
    x = 562,353.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.