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Finding the Third Proportional to 109,376 and 160,992

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Solution

The third proportional to 109,376 and 160,992 is: 236,966.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,376 : 160,992 = 160,992 : x
  2. Step 2: Convert to fraction form
    109,376/160,992 = 160,992/x
  3. Step 3: Cross multiply
    109,376x = 160,992 × 160,992
  4. Step 4: Simplify right side
    109,376x = 25,918,424,064
  5. Step 5: Solve for x
    x = 25,918,424,064/109,376
  6. Step 6: Final answer
    x = 236,966.28

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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.