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Finding the Third Proportional to 90,567 and 141,313.50

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Solution

The third proportional to 90,567 and 141,313.50 is: 220,494.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,567 : 141,313.50 = 141,313.50 : x
  2. Step 2: Convert to fraction form
    90,567/141,313.50 = 141,313.50/x
  3. Step 3: Cross multiply
    90,567x = 141,313.50 × 141,313.50
  4. Step 4: Simplify right side
    90,567x = 19,969,505,282.25
  5. Step 5: Solve for x
    x = 19,969,505,282.25/90,567
  6. Step 6: Final answer
    x = 220,494.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.