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Finding the Third Proportional to 78,191 and 125,897

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Solution

The third proportional to 78,191 and 125,897 is: 202,709.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,191 : 125,897 = 125,897 : x
  2. Step 2: Convert to fraction form
    78,191/125,897 = 125,897/x
  3. Step 3: Cross multiply
    78,191x = 125,897 × 125,897
  4. Step 4: Simplify right side
    78,191x = 15,850,054,609
  5. Step 5: Solve for x
    x = 15,850,054,609/78,191
  6. Step 6: Final answer
    x = 202,709.45

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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.