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Finding the Third Proportional to 71,154 and 111,615

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Solution

The third proportional to 71,154 and 111,615 is: 175,083.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,154 : 111,615 = 111,615 : x
  2. Step 2: Convert to fraction form
    71,154/111,615 = 111,615/x
  3. Step 3: Cross multiply
    71,154x = 111,615 × 111,615
  4. Step 4: Simplify right side
    71,154x = 12,457,908,225
  5. Step 5: Solve for x
    x = 12,457,908,225/71,154
  6. Step 6: Final answer
    x = 175,083.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.