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Finding the Third Proportional to 49,602 and 70,903

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Solution

The third proportional to 49,602 and 70,903 is: 101,351.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,602 : 70,903 = 70,903 : x
  2. Step 2: Convert to fraction form
    49,602/70,903 = 70,903/x
  3. Step 3: Cross multiply
    49,602x = 70,903 × 70,903
  4. Step 4: Simplify right side
    49,602x = 5,027,235,409
  5. Step 5: Solve for x
    x = 5,027,235,409/49,602
  6. Step 6: Final answer
    x = 101,351.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.