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Finding the Third Proportional to 102,363 and 150,615

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Solution

The third proportional to 102,363 and 150,615 is: 221,612.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,363 : 150,615 = 150,615 : x
  2. Step 2: Convert to fraction form
    102,363/150,615 = 150,615/x
  3. Step 3: Cross multiply
    102,363x = 150,615 × 150,615
  4. Step 4: Simplify right side
    102,363x = 22,684,878,225
  5. Step 5: Solve for x
    x = 22,684,878,225/102,363
  6. Step 6: Final answer
    x = 221,612.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.