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Finding the Third Proportional to 78,825.75 and 119,058.38

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Solution

The third proportional to 78,825.75 and 119,058.38 is: 179,825.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,825.75 : 119,058.38 = 119,058.38 : x
  2. Step 2: Convert to fraction form
    78,825.75/119,058.38 = 119,058.38/x
  3. Step 3: Cross multiply
    78,825.75x = 119,058.38 × 119,058.38
  4. Step 4: Simplify right side
    78,825.75x = 14,174,896,657.64
  5. Step 5: Solve for x
    x = 14,174,896,657.64/78,825.75
  6. Step 6: Final answer
    x = 179,825.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.