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Finding the Third Proportional to 93,722 and 137,089

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Solution

The third proportional to 93,722 and 137,089 is: 200,522.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,722 : 137,089 = 137,089 : x
  2. Step 2: Convert to fraction form
    93,722/137,089 = 137,089/x
  3. Step 3: Cross multiply
    93,722x = 137,089 × 137,089
  4. Step 4: Simplify right side
    93,722x = 18,793,393,921
  5. Step 5: Solve for x
    x = 18,793,393,921/93,722
  6. Step 6: Final answer
    x = 200,522.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.