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Finding the Third Proportional to 89,580.94 and 135,518.06

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Solution

The third proportional to 89,580.94 and 135,518.06 is: 205,011.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,580.94 : 135,518.06 = 135,518.06 : x
  2. Step 2: Convert to fraction form
    89,580.94/135,518.06 = 135,518.06/x
  3. Step 3: Cross multiply
    89,580.94x = 135,518.06 × 135,518.06
  4. Step 4: Simplify right side
    89,580.94x = 18,365,145,263.75
  5. Step 5: Solve for x
    x = 18,365,145,263.75/89,580.94
  6. Step 6: Final answer
    x = 205,011.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.