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Finding the Third Proportional to 101,541 and 148,845

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Solution

The third proportional to 101,541 and 148,845 is: 218,186.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,541 : 148,845 = 148,845 : x
  2. Step 2: Convert to fraction form
    101,541/148,845 = 148,845/x
  3. Step 3: Cross multiply
    101,541x = 148,845 × 148,845
  4. Step 4: Simplify right side
    101,541x = 22,154,834,025
  5. Step 5: Solve for x
    x = 22,154,834,025/101,541
  6. Step 6: Final answer
    x = 218,186.09

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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.