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Finding the Third Proportional to 98,064.50 and 146,965

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Solution

The third proportional to 98,064.50 and 146,965 is: 220,250.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,064.50 : 146,965 = 146,965 : x
  2. Step 2: Convert to fraction form
    98,064.50/146,965 = 146,965/x
  3. Step 3: Cross multiply
    98,064.50x = 146,965 × 146,965
  4. Step 4: Simplify right side
    98,064.50x = 21,598,711,225
  5. Step 5: Solve for x
    x = 21,598,711,225/98,064.50
  6. Step 6: Final answer
    x = 220,250.05

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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.