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Finding the Third Proportional to 71,174 and 103,088

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Solution

The third proportional to 71,174 and 103,088 is: 149,312.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,174 : 103,088 = 103,088 : x
  2. Step 2: Convert to fraction form
    71,174/103,088 = 103,088/x
  3. Step 3: Cross multiply
    71,174x = 103,088 × 103,088
  4. Step 4: Simplify right side
    71,174x = 10,627,135,744
  5. Step 5: Solve for x
    x = 10,627,135,744/71,174
  6. Step 6: Final answer
    x = 149,312.05

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.