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Finding the Third Proportional to 106,970 and 149,546

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Solution

The third proportional to 106,970 and 149,546 is: 209,068.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,970 : 149,546 = 149,546 : x
  2. Step 2: Convert to fraction form
    106,970/149,546 = 149,546/x
  3. Step 3: Cross multiply
    106,970x = 149,546 × 149,546
  4. Step 4: Simplify right side
    106,970x = 22,364,006,116
  5. Step 5: Solve for x
    x = 22,364,006,116/106,970
  6. Step 6: Final answer
    x = 209,068.02

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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.