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Finding the Third Proportional to 107,339 and 157,724

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Solution

The third proportional to 107,339 and 157,724 is: 231,759.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,339 : 157,724 = 157,724 : x
  2. Step 2: Convert to fraction form
    107,339/157,724 = 157,724/x
  3. Step 3: Cross multiply
    107,339x = 157,724 × 157,724
  4. Step 4: Simplify right side
    107,339x = 24,876,860,176
  5. Step 5: Solve for x
    x = 24,876,860,176/107,339
  6. Step 6: Final answer
    x = 231,759.75

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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.