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Finding the Third Proportional to 93,995 and 135,808

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Solution

The third proportional to 93,995 and 135,808 is: 196,221.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,995 : 135,808 = 135,808 : x
  2. Step 2: Convert to fraction form
    93,995/135,808 = 135,808/x
  3. Step 3: Cross multiply
    93,995x = 135,808 × 135,808
  4. Step 4: Simplify right side
    93,995x = 18,443,812,864
  5. Step 5: Solve for x
    x = 18,443,812,864/93,995
  6. Step 6: Final answer
    x = 196,221.21

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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.