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Finding the Third Proportional to 103,417 and 149,108

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Solution

The third proportional to 103,417 and 149,108 is: 214,985.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,417 : 149,108 = 149,108 : x
  2. Step 2: Convert to fraction form
    103,417/149,108 = 149,108/x
  3. Step 3: Cross multiply
    103,417x = 149,108 × 149,108
  4. Step 4: Simplify right side
    103,417x = 22,233,195,664
  5. Step 5: Solve for x
    x = 22,233,195,664/103,417
  6. Step 6: Final answer
    x = 214,985.89

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.