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Finding the Third Proportional to 76,777.88 and 118,447.31

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Solution

The third proportional to 76,777.88 and 118,447.31 is: 182,731.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,777.88 : 118,447.31 = 118,447.31 : x
  2. Step 2: Convert to fraction form
    76,777.88/118,447.31 = 118,447.31/x
  3. Step 3: Cross multiply
    76,777.88x = 118,447.31 × 118,447.31
  4. Step 4: Simplify right side
    76,777.88x = 14,029,765,838.47
  5. Step 5: Solve for x
    x = 14,029,765,838.47/76,777.88
  6. Step 6: Final answer
    x = 182,731.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.