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Finding the Third Proportional to 76,743.75 and 157,291.50

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Solution

The third proportional to 76,743.75 and 157,291.50 is: 322,379.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,743.75 : 157,291.50 = 157,291.50 : x
  2. Step 2: Convert to fraction form
    76,743.75/157,291.50 = 157,291.50/x
  3. Step 3: Cross multiply
    76,743.75x = 157,291.50 × 157,291.50
  4. Step 4: Simplify right side
    76,743.75x = 24,740,615,972.25
  5. Step 5: Solve for x
    x = 24,740,615,972.25/76,743.75
  6. Step 6: Final answer
    x = 322,379.55

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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.