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Finding the Third Proportional to 99,546 and 149,043

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Solution

The third proportional to 99,546 and 149,043 is: 223,151.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,546 : 149,043 = 149,043 : x
  2. Step 2: Convert to fraction form
    99,546/149,043 = 149,043/x
  3. Step 3: Cross multiply
    99,546x = 149,043 × 149,043
  4. Step 4: Simplify right side
    99,546x = 22,213,815,849
  5. Step 5: Solve for x
    x = 22,213,815,849/99,546
  6. Step 6: Final answer
    x = 223,151.27

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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.