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Finding the Third Proportional to 76,927.75 and 161,630.75

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Solution

The third proportional to 76,927.75 and 161,630.75 is: 339,597.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,927.75 : 161,630.75 = 161,630.75 : x
  2. Step 2: Convert to fraction form
    76,927.75/161,630.75 = 161,630.75/x
  3. Step 3: Cross multiply
    76,927.75x = 161,630.75 × 161,630.75
  4. Step 4: Simplify right side
    76,927.75x = 26,124,499,345.56
  5. Step 5: Solve for x
    x = 26,124,499,345.56/76,927.75
  6. Step 6: Final answer
    x = 339,597.86

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.