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Finding the Third Proportional to 75,958.50 and 163,603.50

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Solution

The third proportional to 75,958.50 and 163,603.50 is: 352,378.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,958.50 : 163,603.50 = 163,603.50 : x
  2. Step 2: Convert to fraction form
    75,958.50/163,603.50 = 163,603.50/x
  3. Step 3: Cross multiply
    75,958.50x = 163,603.50 × 163,603.50
  4. Step 4: Simplify right side
    75,958.50x = 26,766,105,212.25
  5. Step 5: Solve for x
    x = 26,766,105,212.25/75,958.50
  6. Step 6: Final answer
    x = 352,378.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.