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Finding the Third Proportional to 125,966 and 266,152

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Solution

The third proportional to 125,966 and 266,152 is: 562,349.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,966 : 266,152 = 266,152 : x
  2. Step 2: Convert to fraction form
    125,966/266,152 = 266,152/x
  3. Step 3: Cross multiply
    125,966x = 266,152 × 266,152
  4. Step 4: Simplify right side
    125,966x = 70,836,887,104
  5. Step 5: Solve for x
    x = 70,836,887,104/125,966
  6. Step 6: Final answer
    x = 562,349.26

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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.