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Finding the Third Proportional to 98,001 and 146,728.50

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Solution

The third proportional to 98,001 and 146,728.50 is: 219,684.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,001 : 146,728.50 = 146,728.50 : x
  2. Step 2: Convert to fraction form
    98,001/146,728.50 = 146,728.50/x
  3. Step 3: Cross multiply
    98,001x = 146,728.50 × 146,728.50
  4. Step 4: Simplify right side
    98,001x = 21,529,252,712.25
  5. Step 5: Solve for x
    x = 21,529,252,712.25/98,001
  6. Step 6: Final answer
    x = 219,684.01

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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.