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Finding the Third Proportional to 125,962 and 266,143

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Solution

The third proportional to 125,962 and 266,143 is: 562,329.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,962 : 266,143 = 266,143 : x
  2. Step 2: Convert to fraction form
    125,962/266,143 = 266,143/x
  3. Step 3: Cross multiply
    125,962x = 266,143 × 266,143
  4. Step 4: Simplify right side
    125,962x = 70,832,096,449
  5. Step 5: Solve for x
    x = 70,832,096,449/125,962
  6. Step 6: Final answer
    x = 562,329.09

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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.