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Finding the Third Proportional to 106,926 and 149,490

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Solution

The third proportional to 106,926 and 149,490 is: 208,997.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,926 : 149,490 = 149,490 : x
  2. Step 2: Convert to fraction form
    106,926/149,490 = 149,490/x
  3. Step 3: Cross multiply
    106,926x = 149,490 × 149,490
  4. Step 4: Simplify right side
    106,926x = 22,347,260,100
  5. Step 5: Solve for x
    x = 22,347,260,100/106,926
  6. Step 6: Final answer
    x = 208,997.44

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.