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Finding the Third Proportional to 96,916.50 and 142,182

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Solution

The third proportional to 96,916.50 and 142,182 is: 208,589.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,916.50 : 142,182 = 142,182 : x
  2. Step 2: Convert to fraction form
    96,916.50/142,182 = 142,182/x
  3. Step 3: Cross multiply
    96,916.50x = 142,182 × 142,182
  4. Step 4: Simplify right side
    96,916.50x = 20,215,721,124
  5. Step 5: Solve for x
    x = 20,215,721,124/96,916.50
  6. Step 6: Final answer
    x = 208,589.05

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.