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Finding the Third Proportional to 35,192 and 74,702

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Solution

The third proportional to 35,192 and 74,702 is: 158,569.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,192 : 74,702 = 74,702 : x
  2. Step 2: Convert to fraction form
    35,192/74,702 = 74,702/x
  3. Step 3: Cross multiply
    35,192x = 74,702 × 74,702
  4. Step 4: Simplify right side
    35,192x = 5,580,388,804
  5. Step 5: Solve for x
    x = 5,580,388,804/35,192
  6. Step 6: Final answer
    x = 158,569.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.