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Finding the Third Proportional to 76,924 and 161,612

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Solution

The third proportional to 76,924 and 161,612 is: 339,535.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,924 : 161,612 = 161,612 : x
  2. Step 2: Convert to fraction form
    76,924/161,612 = 161,612/x
  3. Step 3: Cross multiply
    76,924x = 161,612 × 161,612
  4. Step 4: Simplify right side
    76,924x = 26,118,438,544
  5. Step 5: Solve for x
    x = 26,118,438,544/76,924
  6. Step 6: Final answer
    x = 339,535.63

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.