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Finding the Third Proportional to 89,389.13 and 132,537.38

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Solution

The third proportional to 89,389.13 and 132,537.38 is: 196,513.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,389.13 : 132,537.38 = 132,537.38 : x
  2. Step 2: Convert to fraction form
    89,389.13/132,537.38 = 132,537.38/x
  3. Step 3: Cross multiply
    89,389.13x = 132,537.38 × 132,537.38
  4. Step 4: Simplify right side
    89,389.13x = 17,566,155,771.89
  5. Step 5: Solve for x
    x = 17,566,155,771.89/89,389.13
  6. Step 6: Final answer
    x = 196,513.34

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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.