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Finding the Third Proportional to 65,703 and 142,503

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Solution

The third proportional to 65,703 and 142,503 is: 309,074.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,703 : 142,503 = 142,503 : x
  2. Step 2: Convert to fraction form
    65,703/142,503 = 142,503/x
  3. Step 3: Cross multiply
    65,703x = 142,503 × 142,503
  4. Step 4: Simplify right side
    65,703x = 20,307,105,009
  5. Step 5: Solve for x
    x = 20,307,105,009/65,703
  6. Step 6: Final answer
    x = 309,074.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.