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Finding the Third Proportional to 76,818 and 164,292

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Solution

The third proportional to 76,818 and 164,292 is: 351,374.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,818 : 164,292 = 164,292 : x
  2. Step 2: Convert to fraction form
    76,818/164,292 = 164,292/x
  3. Step 3: Cross multiply
    76,818x = 164,292 × 164,292
  4. Step 4: Simplify right side
    76,818x = 26,991,861,264
  5. Step 5: Solve for x
    x = 26,991,861,264/76,818
  6. Step 6: Final answer
    x = 351,374.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.