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Finding the Third Proportional to 104,960 and 153,536

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Solution

The third proportional to 104,960 and 153,536 is: 224,593.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,960 : 153,536 = 153,536 : x
  2. Step 2: Convert to fraction form
    104,960/153,536 = 153,536/x
  3. Step 3: Cross multiply
    104,960x = 153,536 × 153,536
  4. Step 4: Simplify right side
    104,960x = 23,573,303,296
  5. Step 5: Solve for x
    x = 23,573,303,296/104,960
  6. Step 6: Final answer
    x = 224,593.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.