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Finding the Third Proportional to 107,935 and 161,915

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Solution

The third proportional to 107,935 and 161,915 is: 242,891.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,935 : 161,915 = 161,915 : x
  2. Step 2: Convert to fraction form
    107,935/161,915 = 161,915/x
  3. Step 3: Cross multiply
    107,935x = 161,915 × 161,915
  4. Step 4: Simplify right side
    107,935x = 26,216,467,225
  5. Step 5: Solve for x
    x = 26,216,467,225/107,935
  6. Step 6: Final answer
    x = 242,891.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.