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Finding the Third Proportional to 96,128 and 224,591

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Solution

The third proportional to 96,128 and 224,591 is: 524,728.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,128 : 224,591 = 224,591 : x
  2. Step 2: Convert to fraction form
    96,128/224,591 = 224,591/x
  3. Step 3: Cross multiply
    96,128x = 224,591 × 224,591
  4. Step 4: Simplify right side
    96,128x = 50,441,117,281
  5. Step 5: Solve for x
    x = 50,441,117,281/96,128
  6. Step 6: Final answer
    x = 524,728.67

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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.