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Finding the Third Proportional to 75,021.75 and 163,984.50

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Solution

The third proportional to 75,021.75 and 163,984.50 is: 358,441.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,021.75 : 163,984.50 = 163,984.50 : x
  2. Step 2: Convert to fraction form
    75,021.75/163,984.50 = 163,984.50/x
  3. Step 3: Cross multiply
    75,021.75x = 163,984.50 × 163,984.50
  4. Step 4: Simplify right side
    75,021.75x = 26,890,916,240.25
  5. Step 5: Solve for x
    x = 26,890,916,240.25/75,021.75
  6. Step 6: Final answer
    x = 358,441.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.