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Finding the Third Proportional to 109,946 and 149,355

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Solution

The third proportional to 109,946 and 149,355 is: 202,889.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,946 : 149,355 = 149,355 : x
  2. Step 2: Convert to fraction form
    109,946/149,355 = 149,355/x
  3. Step 3: Cross multiply
    109,946x = 149,355 × 149,355
  4. Step 4: Simplify right side
    109,946x = 22,306,916,025
  5. Step 5: Solve for x
    x = 22,306,916,025/109,946
  6. Step 6: Final answer
    x = 202,889.75

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Why These Related Problems?

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