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Finding the Third Proportional to 77,662 and 117,935

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Solution

The third proportional to 77,662 and 117,935 is: 179,092.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,662 : 117,935 = 117,935 : x
  2. Step 2: Convert to fraction form
    77,662/117,935 = 117,935/x
  3. Step 3: Cross multiply
    77,662x = 117,935 × 117,935
  4. Step 4: Simplify right side
    77,662x = 13,908,664,225
  5. Step 5: Solve for x
    x = 13,908,664,225/77,662
  6. Step 6: Final answer
    x = 179,092.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.