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Finding the Third Proportional to 36,075 and 77,136

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Solution

The third proportional to 36,075 and 77,136 is: 164,933.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,075 : 77,136 = 77,136 : x
  2. Step 2: Convert to fraction form
    36,075/77,136 = 77,136/x
  3. Step 3: Cross multiply
    36,075x = 77,136 × 77,136
  4. Step 4: Simplify right side
    36,075x = 5,949,962,496
  5. Step 5: Solve for x
    x = 5,949,962,496/36,075
  6. Step 6: Final answer
    x = 164,933.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.