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Finding the Third Proportional to 73,824 and 114,531

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Solution

The third proportional to 73,824 and 114,531 is: 177,684.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,824 : 114,531 = 114,531 : x
  2. Step 2: Convert to fraction form
    73,824/114,531 = 114,531/x
  3. Step 3: Cross multiply
    73,824x = 114,531 × 114,531
  4. Step 4: Simplify right side
    73,824x = 13,117,349,961
  5. Step 5: Solve for x
    x = 13,117,349,961/73,824
  6. Step 6: Final answer
    x = 177,684.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.