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Finding the Third Proportional to 76,740.75 and 118,391.63

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Solution

The third proportional to 76,740.75 and 118,391.63 is: 182,648.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,740.75 : 118,391.63 = 118,391.63 : x
  2. Step 2: Convert to fraction form
    76,740.75/118,391.63 = 118,391.63/x
  3. Step 3: Cross multiply
    76,740.75x = 118,391.63 × 118,391.63
  4. Step 4: Simplify right side
    76,740.75x = 14,016,576,870.14
  5. Step 5: Solve for x
    x = 14,016,576,870.14/76,740.75
  6. Step 6: Final answer
    x = 182,648.42

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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.