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Finding the Third Proportional to 95,977.50 and 224,292

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Solution

The third proportional to 95,977.50 and 224,292 is: 524,153.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,977.50 : 224,292 = 224,292 : x
  2. Step 2: Convert to fraction form
    95,977.50/224,292 = 224,292/x
  3. Step 3: Cross multiply
    95,977.50x = 224,292 × 224,292
  4. Step 4: Simplify right side
    95,977.50x = 50,306,901,264
  5. Step 5: Solve for x
    x = 50,306,901,264/95,977.50
  6. Step 6: Final answer
    x = 524,153.07

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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.