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Finding the Third Proportional to 76,292 and 159,560

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Solution

The third proportional to 76,292 and 159,560 is: 333,709.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,292 : 159,560 = 159,560 : x
  2. Step 2: Convert to fraction form
    76,292/159,560 = 159,560/x
  3. Step 3: Cross multiply
    76,292x = 159,560 × 159,560
  4. Step 4: Simplify right side
    76,292x = 25,459,393,600
  5. Step 5: Solve for x
    x = 25,459,393,600/76,292
  6. Step 6: Final answer
    x = 333,709.87

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.