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Finding the Third Proportional to 83,664 and 117,288

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Solution

The third proportional to 83,664 and 117,288 is: 164,425.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,664 : 117,288 = 117,288 : x
  2. Step 2: Convert to fraction form
    83,664/117,288 = 117,288/x
  3. Step 3: Cross multiply
    83,664x = 117,288 × 117,288
  4. Step 4: Simplify right side
    83,664x = 13,756,474,944
  5. Step 5: Solve for x
    x = 13,756,474,944/83,664
  6. Step 6: Final answer
    x = 164,425.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.