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Finding the Third Proportional to 89,356.50 and 132,813

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Solution

The third proportional to 89,356.50 and 132,813 is: 197,403.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,356.50 : 132,813 = 132,813 : x
  2. Step 2: Convert to fraction form
    89,356.50/132,813 = 132,813/x
  3. Step 3: Cross multiply
    89,356.50x = 132,813 × 132,813
  4. Step 4: Simplify right side
    89,356.50x = 17,639,292,969
  5. Step 5: Solve for x
    x = 17,639,292,969/89,356.50
  6. Step 6: Final answer
    x = 197,403.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.