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Finding the Third Proportional to 76,111.31 and 172,143.56

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Solution

The third proportional to 76,111.31 and 172,143.56 is: 389,342.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,111.31 : 172,143.56 = 172,143.56 : x
  2. Step 2: Convert to fraction form
    76,111.31/172,143.56 = 172,143.56/x
  3. Step 3: Cross multiply
    76,111.31x = 172,143.56 × 172,143.56
  4. Step 4: Simplify right side
    76,111.31x = 29,633,406,110.19
  5. Step 5: Solve for x
    x = 29,633,406,110.19/76,111.31
  6. Step 6: Final answer
    x = 389,342.99

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.