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Finding the Third Proportional to 75,054.75 and 163,960.13

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Solution

The third proportional to 75,054.75 and 163,960.13 is: 358,177.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,054.75 : 163,960.13 = 163,960.13 : x
  2. Step 2: Convert to fraction form
    75,054.75/163,960.13 = 163,960.13/x
  3. Step 3: Cross multiply
    75,054.75x = 163,960.13 × 163,960.13
  4. Step 4: Simplify right side
    75,054.75x = 26,882,922,590.02
  5. Step 5: Solve for x
    x = 26,882,922,590.02/75,054.75
  6. Step 6: Final answer
    x = 358,177.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.