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Finding the Third Proportional to 99,185 and 148,994

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Solution

The third proportional to 99,185 and 148,994 is: 223,816.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,185 : 148,994 = 148,994 : x
  2. Step 2: Convert to fraction form
    99,185/148,994 = 148,994/x
  3. Step 3: Cross multiply
    99,185x = 148,994 × 148,994
  4. Step 4: Simplify right side
    99,185x = 22,199,212,036
  5. Step 5: Solve for x
    x = 22,199,212,036/99,185
  6. Step 6: Final answer
    x = 223,816.22

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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.