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Finding the Third Proportional to 93,593 and 152,811

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Solution

The third proportional to 93,593 and 152,811 is: 249,497.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,593 : 152,811 = 152,811 : x
  2. Step 2: Convert to fraction form
    93,593/152,811 = 152,811/x
  3. Step 3: Cross multiply
    93,593x = 152,811 × 152,811
  4. Step 4: Simplify right side
    93,593x = 23,351,201,721
  5. Step 5: Solve for x
    x = 23,351,201,721/93,593
  6. Step 6: Final answer
    x = 249,497.31

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.