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Finding the Third Proportional to 35,116 and 74,362

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Solution

The third proportional to 35,116 and 74,362 is: 157,469.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,116 : 74,362 = 74,362 : x
  2. Step 2: Convert to fraction form
    35,116/74,362 = 74,362/x
  3. Step 3: Cross multiply
    35,116x = 74,362 × 74,362
  4. Step 4: Simplify right side
    35,116x = 5,529,707,044
  5. Step 5: Solve for x
    x = 5,529,707,044/35,116
  6. Step 6: Final answer
    x = 157,469.73

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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.