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Finding the Third Proportional to 71,656 and 107,088

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Solution

The third proportional to 71,656 and 107,088 is: 160,040.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,656 : 107,088 = 107,088 : x
  2. Step 2: Convert to fraction form
    71,656/107,088 = 107,088/x
  3. Step 3: Cross multiply
    71,656x = 107,088 × 107,088
  4. Step 4: Simplify right side
    71,656x = 11,467,839,744
  5. Step 5: Solve for x
    x = 11,467,839,744/71,656
  6. Step 6: Final answer
    x = 160,040.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.