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Finding the Third Proportional to 88,581 and 134,511.50

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Solution

The third proportional to 88,581 and 134,511.50 is: 204,257.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,581 : 134,511.50 = 134,511.50 : x
  2. Step 2: Convert to fraction form
    88,581/134,511.50 = 134,511.50/x
  3. Step 3: Cross multiply
    88,581x = 134,511.50 × 134,511.50
  4. Step 4: Simplify right side
    88,581x = 18,093,343,632.25
  5. Step 5: Solve for x
    x = 18,093,343,632.25/88,581
  6. Step 6: Final answer
    x = 204,257.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.