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Finding the Third Proportional to 62,354 and 150,953

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Solution

The third proportional to 62,354 and 150,953 is: 365,442.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,354 : 150,953 = 150,953 : x
  2. Step 2: Convert to fraction form
    62,354/150,953 = 150,953/x
  3. Step 3: Cross multiply
    62,354x = 150,953 × 150,953
  4. Step 4: Simplify right side
    62,354x = 22,786,808,209
  5. Step 5: Solve for x
    x = 22,786,808,209/62,354
  6. Step 6: Final answer
    x = 365,442.61

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.