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Finding the Third Proportional to 77,924.25 and 117,412.88

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Solution

The third proportional to 77,924.25 and 117,412.88 is: 176,912.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,924.25 : 117,412.88 = 117,412.88 : x
  2. Step 2: Convert to fraction form
    77,924.25/117,412.88 = 117,412.88/x
  3. Step 3: Cross multiply
    77,924.25x = 117,412.88 × 117,412.88
  4. Step 4: Simplify right side
    77,924.25x = 13,785,783,215.77
  5. Step 5: Solve for x
    x = 13,785,783,215.77/77,924.25
  6. Step 6: Final answer
    x = 176,912.62

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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.