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Finding the Third Proportional to 80,053.31 and 172,476.84

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Solution

The third proportional to 80,053.31 and 172,476.84 is: 371,605.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,053.31 : 172,476.84 = 172,476.84 : x
  2. Step 2: Convert to fraction form
    80,053.31/172,476.84 = 172,476.84/x
  3. Step 3: Cross multiply
    80,053.31x = 172,476.84 × 172,476.84
  4. Step 4: Simplify right side
    80,053.31x = 29,748,261,629.96
  5. Step 5: Solve for x
    x = 29,748,261,629.96/80,053.31
  6. Step 6: Final answer
    x = 371,605.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.