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Finding the Third Proportional to 88,581 and 134,511

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Solution

The third proportional to 88,581 and 134,511 is: 204,256.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,581 : 134,511 = 134,511 : x
  2. Step 2: Convert to fraction form
    88,581/134,511 = 134,511/x
  3. Step 3: Cross multiply
    88,581x = 134,511 × 134,511
  4. Step 4: Simplify right side
    88,581x = 18,093,209,121
  5. Step 5: Solve for x
    x = 18,093,209,121/88,581
  6. Step 6: Final answer
    x = 204,256.09

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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.