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Finding the Third Proportional to 89,059.50 and 130,217.63

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Solution

The third proportional to 89,059.50 and 130,217.63 is: 190,396.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,059.50 : 130,217.63 = 130,217.63 : x
  2. Step 2: Convert to fraction form
    89,059.50/130,217.63 = 130,217.63/x
  3. Step 3: Cross multiply
    89,059.50x = 130,217.63 × 130,217.63
  4. Step 4: Simplify right side
    89,059.50x = 16,956,629,860.64
  5. Step 5: Solve for x
    x = 16,956,629,860.64/89,059.50
  6. Step 6: Final answer
    x = 190,396.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.