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Finding the Third Proportional to 35,136 and 75,645

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Solution

The third proportional to 35,136 and 75,645 is: 162,857.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,136 : 75,645 = 75,645 : x
  2. Step 2: Convert to fraction form
    35,136/75,645 = 75,645/x
  3. Step 3: Cross multiply
    35,136x = 75,645 × 75,645
  4. Step 4: Simplify right side
    35,136x = 5,722,166,025
  5. Step 5: Solve for x
    x = 5,722,166,025/35,136
  6. Step 6: Final answer
    x = 162,857.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.