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Finding the Third Proportional to 101,445 and 146,934

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Solution

The third proportional to 101,445 and 146,934 is: 212,820.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,445 : 146,934 = 146,934 : x
  2. Step 2: Convert to fraction form
    101,445/146,934 = 146,934/x
  3. Step 3: Cross multiply
    101,445x = 146,934 × 146,934
  4. Step 4: Simplify right side
    101,445x = 21,589,600,356
  5. Step 5: Solve for x
    x = 21,589,600,356/101,445
  6. Step 6: Final answer
    x = 212,820.74

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.