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Finding the Third Proportional to 76,726 and 171,308

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Solution

The third proportional to 76,726 and 171,308 is: 382,483.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,726 : 171,308 = 171,308 : x
  2. Step 2: Convert to fraction form
    76,726/171,308 = 171,308/x
  3. Step 3: Cross multiply
    76,726x = 171,308 × 171,308
  4. Step 4: Simplify right side
    76,726x = 29,346,430,864
  5. Step 5: Solve for x
    x = 29,346,430,864/76,726
  6. Step 6: Final answer
    x = 382,483.52

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.