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Finding the Third Proportional to 107,225 and 157,717

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Solution

The third proportional to 107,225 and 157,717 is: 231,985.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,225 : 157,717 = 157,717 : x
  2. Step 2: Convert to fraction form
    107,225/157,717 = 157,717/x
  3. Step 3: Cross multiply
    107,225x = 157,717 × 157,717
  4. Step 4: Simplify right side
    107,225x = 24,874,652,089
  5. Step 5: Solve for x
    x = 24,874,652,089/107,225
  6. Step 6: Final answer
    x = 231,985.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.