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Finding the Third Proportional to 67,191 and 97,127

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Solution

The third proportional to 67,191 and 97,127 is: 140,400.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,191 : 97,127 = 97,127 : x
  2. Step 2: Convert to fraction form
    67,191/97,127 = 97,127/x
  3. Step 3: Cross multiply
    67,191x = 97,127 × 97,127
  4. Step 4: Simplify right side
    67,191x = 9,433,654,129
  5. Step 5: Solve for x
    x = 9,433,654,129/67,191
  6. Step 6: Final answer
    x = 140,400.56

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.