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Finding the Third Proportional to 78,980 and 125,040

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Solution

The third proportional to 78,980 and 125,040 is: 197,961.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,980 : 125,040 = 125,040 : x
  2. Step 2: Convert to fraction form
    78,980/125,040 = 125,040/x
  3. Step 3: Cross multiply
    78,980x = 125,040 × 125,040
  4. Step 4: Simplify right side
    78,980x = 15,635,001,600
  5. Step 5: Solve for x
    x = 15,635,001,600/78,980
  6. Step 6: Final answer
    x = 197,961.53

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.