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Finding the Third Proportional to 75,246.75 and 163,453.50

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Solution

The third proportional to 75,246.75 and 163,453.50 is: 355,059.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,246.75 : 163,453.50 = 163,453.50 : x
  2. Step 2: Convert to fraction form
    75,246.75/163,453.50 = 163,453.50/x
  3. Step 3: Cross multiply
    75,246.75x = 163,453.50 × 163,453.50
  4. Step 4: Simplify right side
    75,246.75x = 26,717,046,662.25
  5. Step 5: Solve for x
    x = 26,717,046,662.25/75,246.75
  6. Step 6: Final answer
    x = 355,059.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.