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Finding the Third Proportional to 93,701 and 149,027

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Solution

The third proportional to 93,701 and 149,027 is: 237,020.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,701 : 149,027 = 149,027 : x
  2. Step 2: Convert to fraction form
    93,701/149,027 = 149,027/x
  3. Step 3: Cross multiply
    93,701x = 149,027 × 149,027
  4. Step 4: Simplify right side
    93,701x = 22,209,046,729
  5. Step 5: Solve for x
    x = 22,209,046,729/93,701
  6. Step 6: Final answer
    x = 237,020.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.