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Finding the Third Proportional to 101,793.38 and 146,129.06

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Solution

The third proportional to 101,793.38 and 146,129.06 is: 209,774.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,793.38 : 146,129.06 = 146,129.06 : x
  2. Step 2: Convert to fraction form
    101,793.38/146,129.06 = 146,129.06/x
  3. Step 3: Cross multiply
    101,793.38x = 146,129.06 × 146,129.06
  4. Step 4: Simplify right side
    101,793.38x = 21,353,702,907.13
  5. Step 5: Solve for x
    x = 21,353,702,907.13/101,793.38
  6. Step 6: Final answer
    x = 209,774.98

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.