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Finding the Third Proportional to 65,521.50 and 153,891.75

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Solution

The third proportional to 65,521.50 and 153,891.75 is: 361,448.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,521.50 : 153,891.75 = 153,891.75 : x
  2. Step 2: Convert to fraction form
    65,521.50/153,891.75 = 153,891.75/x
  3. Step 3: Cross multiply
    65,521.50x = 153,891.75 × 153,891.75
  4. Step 4: Simplify right side
    65,521.50x = 23,682,670,718.06
  5. Step 5: Solve for x
    x = 23,682,670,718.06/65,521.50
  6. Step 6: Final answer
    x = 361,448.85

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.