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Finding the Third Proportional to 96,234 and 141,435

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Solution

The third proportional to 96,234 and 141,435 is: 207,866.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,234 : 141,435 = 141,435 : x
  2. Step 2: Convert to fraction form
    96,234/141,435 = 141,435/x
  3. Step 3: Cross multiply
    96,234x = 141,435 × 141,435
  4. Step 4: Simplify right side
    96,234x = 20,003,859,225
  5. Step 5: Solve for x
    x = 20,003,859,225/96,234
  6. Step 6: Final answer
    x = 207,866.86

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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.