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Finding the Third Proportional to 107,775 and 254,056

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Solution

The third proportional to 107,775 and 254,056 is: 598,881.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,775 : 254,056 = 254,056 : x
  2. Step 2: Convert to fraction form
    107,775/254,056 = 254,056/x
  3. Step 3: Cross multiply
    107,775x = 254,056 × 254,056
  4. Step 4: Simplify right side
    107,775x = 64,544,451,136
  5. Step 5: Solve for x
    x = 64,544,451,136/107,775
  6. Step 6: Final answer
    x = 598,881.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.