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Finding the Third Proportional to 76,754.25 and 163,350

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Solution

The third proportional to 76,754.25 and 163,350 is: 347,644.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,754.25 : 163,350 = 163,350 : x
  2. Step 2: Convert to fraction form
    76,754.25/163,350 = 163,350/x
  3. Step 3: Cross multiply
    76,754.25x = 163,350 × 163,350
  4. Step 4: Simplify right side
    76,754.25x = 26,683,222,500
  5. Step 5: Solve for x
    x = 26,683,222,500/76,754.25
  6. Step 6: Final answer
    x = 347,644.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.