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Finding the Third Proportional to 103,344.75 and 146,273.34

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Solution

The third proportional to 103,344.75 and 146,273.34 is: 207,034.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,344.75 : 146,273.34 = 146,273.34 : x
  2. Step 2: Convert to fraction form
    103,344.75/146,273.34 = 146,273.34/x
  3. Step 3: Cross multiply
    103,344.75x = 146,273.34 × 146,273.34
  4. Step 4: Simplify right side
    103,344.75x = 21,395,891,091.81
  5. Step 5: Solve for x
    x = 21,395,891,091.81/103,344.75
  6. Step 6: Final answer
    x = 207,034.14

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.