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Finding the Third Proportional to 117,136 and 252,576

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Solution

The third proportional to 117,136 and 252,576 is: 544,620.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,136 : 252,576 = 252,576 : x
  2. Step 2: Convert to fraction form
    117,136/252,576 = 252,576/x
  3. Step 3: Cross multiply
    117,136x = 252,576 × 252,576
  4. Step 4: Simplify right side
    117,136x = 63,794,635,776
  5. Step 5: Solve for x
    x = 63,794,635,776/117,136
  6. Step 6: Final answer
    x = 544,620.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.