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Finding the Third Proportional to 77,934.75 and 167,788.88

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Solution

The third proportional to 77,934.75 and 167,788.88 is: 361,239.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,934.75 : 167,788.88 = 167,788.88 : x
  2. Step 2: Convert to fraction form
    77,934.75/167,788.88 = 167,788.88/x
  3. Step 3: Cross multiply
    77,934.75x = 167,788.88 × 167,788.88
  4. Step 4: Simplify right side
    77,934.75x = 28,153,106,573.77
  5. Step 5: Solve for x
    x = 28,153,106,573.77/77,934.75
  6. Step 6: Final answer
    x = 361,239.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.