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Finding the Third Proportional to 101,202 and 145,764

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Solution

The third proportional to 101,202 and 145,764 is: 209,947.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,202 : 145,764 = 145,764 : x
  2. Step 2: Convert to fraction form
    101,202/145,764 = 145,764/x
  3. Step 3: Cross multiply
    101,202x = 145,764 × 145,764
  4. Step 4: Simplify right side
    101,202x = 21,247,143,696
  5. Step 5: Solve for x
    x = 21,247,143,696/101,202
  6. Step 6: Final answer
    x = 209,947.86

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.