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Finding the Third Proportional to 95,128 and 224,968

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Solution

The third proportional to 95,128 and 224,968 is: 532,026.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,128 : 224,968 = 224,968 : x
  2. Step 2: Convert to fraction form
    95,128/224,968 = 224,968/x
  3. Step 3: Cross multiply
    95,128x = 224,968 × 224,968
  4. Step 4: Simplify right side
    95,128x = 50,610,601,024
  5. Step 5: Solve for x
    x = 50,610,601,024/95,128
  6. Step 6: Final answer
    x = 532,026.33

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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.