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Finding the Third Proportional to 76,710 and 167,364

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Solution

The third proportional to 76,710 and 167,364 is: 365,150.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,710 : 167,364 = 167,364 : x
  2. Step 2: Convert to fraction form
    76,710/167,364 = 167,364/x
  3. Step 3: Cross multiply
    76,710x = 167,364 × 167,364
  4. Step 4: Simplify right side
    76,710x = 28,010,708,496
  5. Step 5: Solve for x
    x = 28,010,708,496/76,710
  6. Step 6: Final answer
    x = 365,150.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.