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Finding the Third Proportional to 103,997 and 148,613

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Solution

The third proportional to 103,997 and 148,613 is: 212,369.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,997 : 148,613 = 148,613 : x
  2. Step 2: Convert to fraction form
    103,997/148,613 = 148,613/x
  3. Step 3: Cross multiply
    103,997x = 148,613 × 148,613
  4. Step 4: Simplify right side
    103,997x = 22,085,823,769
  5. Step 5: Solve for x
    x = 22,085,823,769/103,997
  6. Step 6: Final answer
    x = 212,369.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.