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Finding the Third Proportional to 101,524 and 149,343

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Solution

The third proportional to 101,524 and 149,343 is: 219,685.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,524 : 149,343 = 149,343 : x
  2. Step 2: Convert to fraction form
    101,524/149,343 = 149,343/x
  3. Step 3: Cross multiply
    101,524x = 149,343 × 149,343
  4. Step 4: Simplify right side
    101,524x = 22,303,331,649
  5. Step 5: Solve for x
    x = 22,303,331,649/101,524
  6. Step 6: Final answer
    x = 219,685.31

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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.