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Finding the Third Proportional to 103,895 and 148,575

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Solution

The third proportional to 103,895 and 148,575 is: 212,469.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,895 : 148,575 = 148,575 : x
  2. Step 2: Convert to fraction form
    103,895/148,575 = 148,575/x
  3. Step 3: Cross multiply
    103,895x = 148,575 × 148,575
  4. Step 4: Simplify right side
    103,895x = 22,074,530,625
  5. Step 5: Solve for x
    x = 22,074,530,625/103,895
  6. Step 6: Final answer
    x = 212,469.61

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