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Finding the Third Proportional to 76,683.25 and 157,084.88

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Solution

The third proportional to 76,683.25 and 157,084.88 is: 321,786.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,683.25 : 157,084.88 = 157,084.88 : x
  2. Step 2: Convert to fraction form
    76,683.25/157,084.88 = 157,084.88/x
  3. Step 3: Cross multiply
    76,683.25x = 157,084.88 × 157,084.88
  4. Step 4: Simplify right side
    76,683.25x = 24,675,657,953.77
  5. Step 5: Solve for x
    x = 24,675,657,953.77/76,683.25
  6. Step 6: Final answer
    x = 321,786.80

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.