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Finding the Third Proportional to 99,816.75 and 154,185

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Solution

The third proportional to 99,816.75 and 154,185 is: 238,166.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,816.75 : 154,185 = 154,185 : x
  2. Step 2: Convert to fraction form
    99,816.75/154,185 = 154,185/x
  3. Step 3: Cross multiply
    99,816.75x = 154,185 × 154,185
  4. Step 4: Simplify right side
    99,816.75x = 23,773,014,225
  5. Step 5: Solve for x
    x = 23,773,014,225/99,816.75
  6. Step 6: Final answer
    x = 238,166.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.