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Finding the Third Proportional to 77,086 and 119,294

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Solution

The third proportional to 77,086 and 119,294 is: 184,612.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,086 : 119,294 = 119,294 : x
  2. Step 2: Convert to fraction form
    77,086/119,294 = 119,294/x
  3. Step 3: Cross multiply
    77,086x = 119,294 × 119,294
  4. Step 4: Simplify right side
    77,086x = 14,231,058,436
  5. Step 5: Solve for x
    x = 14,231,058,436/77,086
  6. Step 6: Final answer
    x = 184,612.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.