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Finding the Third Proportional to 125,961 and 266,140

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Solution

The third proportional to 125,961 and 266,140 is: 562,320.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,961 : 266,140 = 266,140 : x
  2. Step 2: Convert to fraction form
    125,961/266,140 = 266,140/x
  3. Step 3: Cross multiply
    125,961x = 266,140 × 266,140
  4. Step 4: Simplify right side
    125,961x = 70,830,499,600
  5. Step 5: Solve for x
    x = 70,830,499,600/125,961
  6. Step 6: Final answer
    x = 562,320.87

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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.