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Finding the Third Proportional to 89,618.63 and 137,561.63

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Solution

The third proportional to 89,618.63 and 137,561.63 is: 211,152.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,618.63 : 137,561.63 = 137,561.63 : x
  2. Step 2: Convert to fraction form
    89,618.63/137,561.63 = 137,561.63/x
  3. Step 3: Cross multiply
    89,618.63x = 137,561.63 × 137,561.63
  4. Step 4: Simplify right side
    89,618.63x = 18,923,200,672.64
  5. Step 5: Solve for x
    x = 18,923,200,672.64/89,618.63
  6. Step 6: Final answer
    x = 211,152.54

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Why These Related Problems?

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