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Finding the Third Proportional to 95,123 and 224,957.50

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Solution

The third proportional to 95,123 and 224,957.50 is: 532,004.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,123 : 224,957.50 = 224,957.50 : x
  2. Step 2: Convert to fraction form
    95,123/224,957.50 = 224,957.50/x
  3. Step 3: Cross multiply
    95,123x = 224,957.50 × 224,957.50
  4. Step 4: Simplify right side
    95,123x = 50,605,876,806.25
  5. Step 5: Solve for x
    x = 50,605,876,806.25/95,123
  6. Step 6: Final answer
    x = 532,004.63

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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.