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Finding the Third Proportional to 98,205 and 151,035

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Solution

The third proportional to 98,205 and 151,035 is: 232,285.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,205 : 151,035 = 151,035 : x
  2. Step 2: Convert to fraction form
    98,205/151,035 = 151,035/x
  3. Step 3: Cross multiply
    98,205x = 151,035 × 151,035
  4. Step 4: Simplify right side
    98,205x = 22,811,571,225
  5. Step 5: Solve for x
    x = 22,811,571,225/98,205
  6. Step 6: Final answer
    x = 232,285.23

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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.