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Finding the Third Proportional to 100,020.38 and 236,106

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Solution

The third proportional to 100,020.38 and 236,106 is: 557,346.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,020.38 : 236,106 = 236,106 : x
  2. Step 2: Convert to fraction form
    100,020.38/236,106 = 236,106/x
  3. Step 3: Cross multiply
    100,020.38x = 236,106 × 236,106
  4. Step 4: Simplify right side
    100,020.38x = 55,746,043,236
  5. Step 5: Solve for x
    x = 55,746,043,236/100,020.38
  6. Step 6: Final answer
    x = 557,346.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.