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Finding the Third Proportional to 35,108 and 74,160

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Solution

The third proportional to 35,108 and 74,160 is: 156,651.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,108 : 74,160 = 74,160 : x
  2. Step 2: Convert to fraction form
    35,108/74,160 = 74,160/x
  3. Step 3: Cross multiply
    35,108x = 74,160 × 74,160
  4. Step 4: Simplify right side
    35,108x = 5,499,705,600
  5. Step 5: Solve for x
    x = 5,499,705,600/35,108
  6. Step 6: Final answer
    x = 156,651.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.