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Finding the Third Proportional to 102,217 and 155,172

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Solution

The third proportional to 102,217 and 155,172 is: 235,561.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,217 : 155,172 = 155,172 : x
  2. Step 2: Convert to fraction form
    102,217/155,172 = 155,172/x
  3. Step 3: Cross multiply
    102,217x = 155,172 × 155,172
  4. Step 4: Simplify right side
    102,217x = 24,078,349,584
  5. Step 5: Solve for x
    x = 24,078,349,584/102,217
  6. Step 6: Final answer
    x = 235,561.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.