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Finding the Third Proportional to 150,013 and 202,070

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Solution

The third proportional to 150,013 and 202,070 is: 272,191.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,013 : 202,070 = 202,070 : x
  2. Step 2: Convert to fraction form
    150,013/202,070 = 202,070/x
  3. Step 3: Cross multiply
    150,013x = 202,070 × 202,070
  4. Step 4: Simplify right side
    150,013x = 40,832,284,900
  5. Step 5: Solve for x
    x = 40,832,284,900/150,013
  6. Step 6: Final answer
    x = 272,191.64

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.