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Finding the Third Proportional to 102,536 and 223,024

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Solution

The third proportional to 102,536 and 223,024 is: 485,095.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,536 : 223,024 = 223,024 : x
  2. Step 2: Convert to fraction form
    102,536/223,024 = 223,024/x
  3. Step 3: Cross multiply
    102,536x = 223,024 × 223,024
  4. Step 4: Simplify right side
    102,536x = 49,739,704,576
  5. Step 5: Solve for x
    x = 49,739,704,576/102,536
  6. Step 6: Final answer
    x = 485,095.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.