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Finding the Third Proportional to 65,983.50 and 153,990

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Solution

The third proportional to 65,983.50 and 153,990 is: 359,376.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,983.50 : 153,990 = 153,990 : x
  2. Step 2: Convert to fraction form
    65,983.50/153,990 = 153,990/x
  3. Step 3: Cross multiply
    65,983.50x = 153,990 × 153,990
  4. Step 4: Simplify right side
    65,983.50x = 23,712,920,100
  5. Step 5: Solve for x
    x = 23,712,920,100/65,983.50
  6. Step 6: Final answer
    x = 359,376.51

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.