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Finding the Third Proportional to 113,902 and 266,125

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Solution

The third proportional to 113,902 and 266,125 is: 621,784.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,902 : 266,125 = 266,125 : x
  2. Step 2: Convert to fraction form
    113,902/266,125 = 266,125/x
  3. Step 3: Cross multiply
    113,902x = 266,125 × 266,125
  4. Step 4: Simplify right side
    113,902x = 70,822,515,625
  5. Step 5: Solve for x
    x = 70,822,515,625/113,902
  6. Step 6: Final answer
    x = 621,784.65

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.