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Finding the Third Proportional to 103,997.50 and 148,611.50

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Solution

The third proportional to 103,997.50 and 148,611.50 is: 212,364.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,997.50 : 148,611.50 = 148,611.50 : x
  2. Step 2: Convert to fraction form
    103,997.50/148,611.50 = 148,611.50/x
  3. Step 3: Cross multiply
    103,997.50x = 148,611.50 × 148,611.50
  4. Step 4: Simplify right side
    103,997.50x = 22,085,377,932.25
  5. Step 5: Solve for x
    x = 22,085,377,932.25/103,997.50
  6. Step 6: Final answer
    x = 212,364.51

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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.