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Finding the Third Proportional to 106,917 and 149,476.50

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Solution

The third proportional to 106,917 and 149,476.50 is: 208,977.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,917 : 149,476.50 = 149,476.50 : x
  2. Step 2: Convert to fraction form
    106,917/149,476.50 = 149,476.50/x
  3. Step 3: Cross multiply
    106,917x = 149,476.50 × 149,476.50
  4. Step 4: Simplify right side
    106,917x = 22,343,224,052.25
  5. Step 5: Solve for x
    x = 22,343,224,052.25/106,917
  6. Step 6: Final answer
    x = 208,977.28

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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.