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Finding the Third Proportional to 89,464.50 and 137,062.13

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Solution

The third proportional to 89,464.50 and 137,062.13 is: 209,983.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,464.50 : 137,062.13 = 137,062.13 : x
  2. Step 2: Convert to fraction form
    89,464.50/137,062.13 = 137,062.13/x
  3. Step 3: Cross multiply
    89,464.50x = 137,062.13 × 137,062.13
  4. Step 4: Simplify right side
    89,464.50x = 18,786,026,109.52
  5. Step 5: Solve for x
    x = 18,786,026,109.52/89,464.50
  6. Step 6: Final answer
    x = 209,983.02

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.