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Finding the Third Proportional to 74,320 and 108,992

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Solution

The third proportional to 74,320 and 108,992 is: 159,839.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,320 : 108,992 = 108,992 : x
  2. Step 2: Convert to fraction form
    74,320/108,992 = 108,992/x
  3. Step 3: Cross multiply
    74,320x = 108,992 × 108,992
  4. Step 4: Simplify right side
    74,320x = 11,879,256,064
  5. Step 5: Solve for x
    x = 11,879,256,064/74,320
  6. Step 6: Final answer
    x = 159,839.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.