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Finding the Third Proportional to 76,924.50 and 118,083.75

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Solution

The third proportional to 76,924.50 and 118,083.75 is: 181,265.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,924.50 : 118,083.75 = 118,083.75 : x
  2. Step 2: Convert to fraction form
    76,924.50/118,083.75 = 118,083.75/x
  3. Step 3: Cross multiply
    76,924.50x = 118,083.75 × 118,083.75
  4. Step 4: Simplify right side
    76,924.50x = 13,943,772,014.06
  5. Step 5: Solve for x
    x = 13,943,772,014.06/76,924.50
  6. Step 6: Final answer
    x = 181,265.68

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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.