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Finding the Third Proportional to 93,822 and 140,265

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Solution

The third proportional to 93,822 and 140,265 is: 209,697.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,822 : 140,265 = 140,265 : x
  2. Step 2: Convert to fraction form
    93,822/140,265 = 140,265/x
  3. Step 3: Cross multiply
    93,822x = 140,265 × 140,265
  4. Step 4: Simplify right side
    93,822x = 19,674,270,225
  5. Step 5: Solve for x
    x = 19,674,270,225/93,822
  6. Step 6: Final answer
    x = 209,697.83

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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.