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Finding the Third Proportional to 99,824 and 145,832

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Solution

The third proportional to 99,824 and 145,832 is: 213,044.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,824 : 145,832 = 145,832 : x
  2. Step 2: Convert to fraction form
    99,824/145,832 = 145,832/x
  3. Step 3: Cross multiply
    99,824x = 145,832 × 145,832
  4. Step 4: Simplify right side
    99,824x = 21,266,972,224
  5. Step 5: Solve for x
    x = 21,266,972,224/99,824
  6. Step 6: Final answer
    x = 213,044.68

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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.