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Finding the Third Proportional to 77,004 and 115,192

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Solution

The third proportional to 77,004 and 115,192 is: 172,318.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,004 : 115,192 = 115,192 : x
  2. Step 2: Convert to fraction form
    77,004/115,192 = 115,192/x
  3. Step 3: Cross multiply
    77,004x = 115,192 × 115,192
  4. Step 4: Simplify right side
    77,004x = 13,269,196,864
  5. Step 5: Solve for x
    x = 13,269,196,864/77,004
  6. Step 6: Final answer
    x = 172,318.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.