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Finding the Third Proportional to 105,202 and 147,975

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Solution

The third proportional to 105,202 and 147,975 is: 208,138.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,202 : 147,975 = 147,975 : x
  2. Step 2: Convert to fraction form
    105,202/147,975 = 147,975/x
  3. Step 3: Cross multiply
    105,202x = 147,975 × 147,975
  4. Step 4: Simplify right side
    105,202x = 21,896,600,625
  5. Step 5: Solve for x
    x = 21,896,600,625/105,202
  6. Step 6: Final answer
    x = 208,138.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.