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Finding the Third Proportional to 76,596.47 and 118,125

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Solution

The third proportional to 76,596.47 and 118,125 is: 182,169.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,596.47 : 118,125 = 118,125 : x
  2. Step 2: Convert to fraction form
    76,596.47/118,125 = 118,125/x
  3. Step 3: Cross multiply
    76,596.47x = 118,125 × 118,125
  4. Step 4: Simplify right side
    76,596.47x = 13,953,515,625
  5. Step 5: Solve for x
    x = 13,953,515,625/76,596.47
  6. Step 6: Final answer
    x = 182,169.18

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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.