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Finding the Third Proportional to 77,489 and 119,687

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Solution

The third proportional to 77,489 and 119,687 is: 184,864.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,489 : 119,687 = 119,687 : x
  2. Step 2: Convert to fraction form
    77,489/119,687 = 119,687/x
  3. Step 3: Cross multiply
    77,489x = 119,687 × 119,687
  4. Step 4: Simplify right side
    77,489x = 14,324,977,969
  5. Step 5: Solve for x
    x = 14,324,977,969/77,489
  6. Step 6: Final answer
    x = 184,864.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.