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Finding the Third Proportional to 35,136 and 79,424

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Solution

The third proportional to 35,136 and 79,424 is: 179,535.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,136 : 79,424 = 79,424 : x
  2. Step 2: Convert to fraction form
    35,136/79,424 = 79,424/x
  3. Step 3: Cross multiply
    35,136x = 79,424 × 79,424
  4. Step 4: Simplify right side
    35,136x = 6,308,171,776
  5. Step 5: Solve for x
    x = 6,308,171,776/35,136
  6. Step 6: Final answer
    x = 179,535.85

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.