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Finding the Third Proportional to 89,154 and 132,256.50

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Solution

The third proportional to 89,154 and 132,256.50 is: 196,197.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,154 : 132,256.50 = 132,256.50 : x
  2. Step 2: Convert to fraction form
    89,154/132,256.50 = 132,256.50/x
  3. Step 3: Cross multiply
    89,154x = 132,256.50 × 132,256.50
  4. Step 4: Simplify right side
    89,154x = 17,491,781,792.25
  5. Step 5: Solve for x
    x = 17,491,781,792.25/89,154
  6. Step 6: Final answer
    x = 196,197.39

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.