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Finding the Third Proportional to 49,720 and 72,232

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Solution

The third proportional to 49,720 and 72,232 is: 104,936.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,720 : 72,232 = 72,232 : x
  2. Step 2: Convert to fraction form
    49,720/72,232 = 72,232/x
  3. Step 3: Cross multiply
    49,720x = 72,232 × 72,232
  4. Step 4: Simplify right side
    49,720x = 5,217,461,824
  5. Step 5: Solve for x
    x = 5,217,461,824/49,720
  6. Step 6: Final answer
    x = 104,936.88

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.