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Finding the Third Proportional to 75,524.91 and 105,872.06

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Solution

The third proportional to 75,524.91 and 105,872.06 is: 148,413.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,524.91 : 105,872.06 = 105,872.06 : x
  2. Step 2: Convert to fraction form
    75,524.91/105,872.06 = 105,872.06/x
  3. Step 3: Cross multiply
    75,524.91x = 105,872.06 × 105,872.06
  4. Step 4: Simplify right side
    75,524.91x = 11,208,893,618.00
  5. Step 5: Solve for x
    x = 11,208,893,618.00/75,524.91
  6. Step 6: Final answer
    x = 148,413.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.