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Finding the Third Proportional to 89,321.75 and 142,182.63

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Solution

The third proportional to 89,321.75 and 142,182.63 is: 226,326.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,321.75 : 142,182.63 = 142,182.63 : x
  2. Step 2: Convert to fraction form
    89,321.75/142,182.63 = 142,182.63/x
  3. Step 3: Cross multiply
    89,321.75x = 142,182.63 × 142,182.63
  4. Step 4: Simplify right side
    89,321.75x = 20,215,898,851.89
  5. Step 5: Solve for x
    x = 20,215,898,851.89/89,321.75
  6. Step 6: Final answer
    x = 226,326.72

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.