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Finding the Third Proportional to 95,121 and 224,952

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Solution

The third proportional to 95,121 and 224,952 is: 531,989.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,121 : 224,952 = 224,952 : x
  2. Step 2: Convert to fraction form
    95,121/224,952 = 224,952/x
  3. Step 3: Cross multiply
    95,121x = 224,952 × 224,952
  4. Step 4: Simplify right side
    95,121x = 50,603,402,304
  5. Step 5: Solve for x
    x = 50,603,402,304/95,121
  6. Step 6: Final answer
    x = 531,989.81

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.