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Finding the Third Proportional to 78,187 and 125,892

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Solution

The third proportional to 78,187 and 125,892 is: 202,703.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,187 : 125,892 = 125,892 : x
  2. Step 2: Convert to fraction form
    78,187/125,892 = 125,892/x
  3. Step 3: Cross multiply
    78,187x = 125,892 × 125,892
  4. Step 4: Simplify right side
    78,187x = 15,848,795,664
  5. Step 5: Solve for x
    x = 15,848,795,664/78,187
  6. Step 6: Final answer
    x = 202,703.72

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.