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Finding the Third Proportional to 93,153 and 131,683

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Solution

The third proportional to 93,153 and 131,683 is: 186,149.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,153 : 131,683 = 131,683 : x
  2. Step 2: Convert to fraction form
    93,153/131,683 = 131,683/x
  3. Step 3: Cross multiply
    93,153x = 131,683 × 131,683
  4. Step 4: Simplify right side
    93,153x = 17,340,412,489
  5. Step 5: Solve for x
    x = 17,340,412,489/93,153
  6. Step 6: Final answer
    x = 186,149.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.