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Finding the Third Proportional to 83,328.75 and 119,076.75

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Solution

The third proportional to 83,328.75 and 119,076.75 is: 170,160.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,328.75 : 119,076.75 = 119,076.75 : x
  2. Step 2: Convert to fraction form
    83,328.75/119,076.75 = 119,076.75/x
  3. Step 3: Cross multiply
    83,328.75x = 119,076.75 × 119,076.75
  4. Step 4: Simplify right side
    83,328.75x = 14,179,272,390.56
  5. Step 5: Solve for x
    x = 14,179,272,390.56/83,328.75
  6. Step 6: Final answer
    x = 170,160.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.