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Finding the Third Proportional to 77,684 and 119,960

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Solution

The third proportional to 77,684 and 119,960 is: 185,242.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,684 : 119,960 = 119,960 : x
  2. Step 2: Convert to fraction form
    77,684/119,960 = 119,960/x
  3. Step 3: Cross multiply
    77,684x = 119,960 × 119,960
  4. Step 4: Simplify right side
    77,684x = 14,390,401,600
  5. Step 5: Solve for x
    x = 14,390,401,600/77,684
  6. Step 6: Final answer
    x = 185,242.80

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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.