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Finding the Third Proportional to 76,576 and 115,998

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Solution

The third proportional to 76,576 and 115,998 is: 175,714.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,576 : 115,998 = 115,998 : x
  2. Step 2: Convert to fraction form
    76,576/115,998 = 115,998/x
  3. Step 3: Cross multiply
    76,576x = 115,998 × 115,998
  4. Step 4: Simplify right side
    76,576x = 13,455,536,004
  5. Step 5: Solve for x
    x = 13,455,536,004/76,576
  6. Step 6: Final answer
    x = 175,714.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.