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Finding the Third Proportional to 77,998 and 117,700

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Solution

The third proportional to 77,998 and 117,700 is: 177,610.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,998 : 117,700 = 117,700 : x
  2. Step 2: Convert to fraction form
    77,998/117,700 = 117,700/x
  3. Step 3: Cross multiply
    77,998x = 117,700 × 117,700
  4. Step 4: Simplify right side
    77,998x = 13,853,290,000
  5. Step 5: Solve for x
    x = 13,853,290,000/77,998
  6. Step 6: Final answer
    x = 177,610.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.