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Finding the Third Proportional to 101,208 and 145,773

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Solution

The third proportional to 101,208 and 145,773 is: 209,961.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,208 : 145,773 = 145,773 : x
  2. Step 2: Convert to fraction form
    101,208/145,773 = 145,773/x
  3. Step 3: Cross multiply
    101,208x = 145,773 × 145,773
  4. Step 4: Simplify right side
    101,208x = 21,249,767,529
  5. Step 5: Solve for x
    x = 21,249,767,529/101,208
  6. Step 6: Final answer
    x = 209,961.34

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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.