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Finding the Third Proportional to 76,594 and 114,972

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Solution

The third proportional to 76,594 and 114,972 is: 172,579.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,594 : 114,972 = 114,972 : x
  2. Step 2: Convert to fraction form
    76,594/114,972 = 114,972/x
  3. Step 3: Cross multiply
    76,594x = 114,972 × 114,972
  4. Step 4: Simplify right side
    76,594x = 13,218,560,784
  5. Step 5: Solve for x
    x = 13,218,560,784/76,594
  6. Step 6: Final answer
    x = 172,579.59

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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.