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Finding the Third Proportional to 103,976 and 148,575

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Solution

The third proportional to 103,976 and 148,575 is: 212,304.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,976 : 148,575 = 148,575 : x
  2. Step 2: Convert to fraction form
    103,976/148,575 = 148,575/x
  3. Step 3: Cross multiply
    103,976x = 148,575 × 148,575
  4. Step 4: Simplify right side
    103,976x = 22,074,530,625
  5. Step 5: Solve for x
    x = 22,074,530,625/103,976
  6. Step 6: Final answer
    x = 212,304.10

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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.