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Finding the Third Proportional to 96,843 and 145,323

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Solution

The third proportional to 96,843 and 145,323 is: 218,072.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,843 : 145,323 = 145,323 : x
  2. Step 2: Convert to fraction form
    96,843/145,323 = 145,323/x
  3. Step 3: Cross multiply
    96,843x = 145,323 × 145,323
  4. Step 4: Simplify right side
    96,843x = 21,118,774,329
  5. Step 5: Solve for x
    x = 21,118,774,329/96,843
  6. Step 6: Final answer
    x = 218,072.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.