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Finding the Third Proportional to 82,151.44 and 172,594.13

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Solution

The third proportional to 82,151.44 and 172,594.13 is: 362,607.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,151.44 : 172,594.13 = 172,594.13 : x
  2. Step 2: Convert to fraction form
    82,151.44/172,594.13 = 172,594.13/x
  3. Step 3: Cross multiply
    82,151.44x = 172,594.13 × 172,594.13
  4. Step 4: Simplify right side
    82,151.44x = 29,788,731,984.52
  5. Step 5: Solve for x
    x = 29,788,731,984.52/82,151.44
  6. Step 6: Final answer
    x = 362,607.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.