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Finding the Third Proportional to 103,234 and 145,370

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Solution

The third proportional to 103,234 and 145,370 is: 204,704.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,234 : 145,370 = 145,370 : x
  2. Step 2: Convert to fraction form
    103,234/145,370 = 145,370/x
  3. Step 3: Cross multiply
    103,234x = 145,370 × 145,370
  4. Step 4: Simplify right side
    103,234x = 21,132,436,900
  5. Step 5: Solve for x
    x = 21,132,436,900/103,234
  6. Step 6: Final answer
    x = 204,704.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.