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Finding the Third Proportional to 77,314 and 119,464

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Solution

The third proportional to 77,314 and 119,464 is: 184,593.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,314 : 119,464 = 119,464 : x
  2. Step 2: Convert to fraction form
    77,314/119,464 = 119,464/x
  3. Step 3: Cross multiply
    77,314x = 119,464 × 119,464
  4. Step 4: Simplify right side
    77,314x = 14,271,647,296
  5. Step 5: Solve for x
    x = 14,271,647,296/77,314
  6. Step 6: Final answer
    x = 184,593.31

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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.