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Finding the Third Proportional to 109,663 and 148,600

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Solution

The third proportional to 109,663 and 148,600 is: 201,361.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,663 : 148,600 = 148,600 : x
  2. Step 2: Convert to fraction form
    109,663/148,600 = 148,600/x
  3. Step 3: Cross multiply
    109,663x = 148,600 × 148,600
  4. Step 4: Simplify right side
    109,663x = 22,081,960,000
  5. Step 5: Solve for x
    x = 22,081,960,000/109,663
  6. Step 6: Final answer
    x = 201,361.99

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.