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Finding the Third Proportional to 101,746 and 149,676

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Solution

The third proportional to 101,746 and 149,676 is: 220,184.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,746 : 149,676 = 149,676 : x
  2. Step 2: Convert to fraction form
    101,746/149,676 = 149,676/x
  3. Step 3: Cross multiply
    101,746x = 149,676 × 149,676
  4. Step 4: Simplify right side
    101,746x = 22,402,904,976
  5. Step 5: Solve for x
    x = 22,402,904,976/101,746
  6. Step 6: Final answer
    x = 220,184.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.