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Finding the Third Proportional to 102,582 and 162,296

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Solution

The third proportional to 102,582 and 162,296 is: 256,770.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,582 : 162,296 = 162,296 : x
  2. Step 2: Convert to fraction form
    102,582/162,296 = 162,296/x
  3. Step 3: Cross multiply
    102,582x = 162,296 × 162,296
  4. Step 4: Simplify right side
    102,582x = 26,339,991,616
  5. Step 5: Solve for x
    x = 26,339,991,616/102,582
  6. Step 6: Final answer
    x = 256,770.11

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.