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Finding the Third Proportional to 107,914 and 252,056

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Solution

The third proportional to 107,914 and 252,056 is: 588,730.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,914 : 252,056 = 252,056 : x
  2. Step 2: Convert to fraction form
    107,914/252,056 = 252,056/x
  3. Step 3: Cross multiply
    107,914x = 252,056 × 252,056
  4. Step 4: Simplify right side
    107,914x = 63,532,227,136
  5. Step 5: Solve for x
    x = 63,532,227,136/107,914
  6. Step 6: Final answer
    x = 588,730.17

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.