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Finding the Third Proportional to 100,072.13 and 142,448.63

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Solution

The third proportional to 100,072.13 and 142,448.63 is: 202,769.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,072.13 : 142,448.63 = 142,448.63 : x
  2. Step 2: Convert to fraction form
    100,072.13/142,448.63 = 142,448.63/x
  3. Step 3: Cross multiply
    100,072.13x = 142,448.63 × 142,448.63
  4. Step 4: Simplify right side
    100,072.13x = 20,291,610,764.39
  5. Step 5: Solve for x
    x = 20,291,610,764.39/100,072.13
  6. Step 6: Final answer
    x = 202,769.86

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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.