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Finding the Third Proportional to 99,765 and 149,643

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Solution

The third proportional to 99,765 and 149,643 is: 224,457.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,765 : 149,643 = 149,643 : x
  2. Step 2: Convert to fraction form
    99,765/149,643 = 149,643/x
  3. Step 3: Cross multiply
    99,765x = 149,643 × 149,643
  4. Step 4: Simplify right side
    99,765x = 22,393,027,449
  5. Step 5: Solve for x
    x = 22,393,027,449/99,765
  6. Step 6: Final answer
    x = 224,457.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.