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Finding the Third Proportional to 35,940 and 74,088

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Solution

The third proportional to 35,940 and 74,088 is: 152,727.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,940 : 74,088 = 74,088 : x
  2. Step 2: Convert to fraction form
    35,940/74,088 = 74,088/x
  3. Step 3: Cross multiply
    35,940x = 74,088 × 74,088
  4. Step 4: Simplify right side
    35,940x = 5,489,031,744
  5. Step 5: Solve for x
    x = 5,489,031,744/35,940
  6. Step 6: Final answer
    x = 152,727.65

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.