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Finding the Third Proportional to 75,861 and 109,273.50

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Solution

The third proportional to 75,861 and 109,273.50 is: 157,402.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,861 : 109,273.50 = 109,273.50 : x
  2. Step 2: Convert to fraction form
    75,861/109,273.50 = 109,273.50/x
  3. Step 3: Cross multiply
    75,861x = 109,273.50 × 109,273.50
  4. Step 4: Simplify right side
    75,861x = 11,940,697,802.25
  5. Step 5: Solve for x
    x = 11,940,697,802.25/75,861
  6. Step 6: Final answer
    x = 157,402.33

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.