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Finding the Third Proportional to 89,461.50 and 137,058.75

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Solution

The third proportional to 89,461.50 and 137,058.75 is: 209,979.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,461.50 : 137,058.75 = 137,058.75 : x
  2. Step 2: Convert to fraction form
    89,461.50/137,058.75 = 137,058.75/x
  3. Step 3: Cross multiply
    89,461.50x = 137,058.75 × 137,058.75
  4. Step 4: Simplify right side
    89,461.50x = 18,785,100,951.56
  5. Step 5: Solve for x
    x = 18,785,100,951.56/89,461.50
  6. Step 6: Final answer
    x = 209,979.72

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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.