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Finding the Third Proportional to 60,591 and 128,958

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Solution

The third proportional to 60,591 and 128,958 is: 274,465.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,591 : 128,958 = 128,958 : x
  2. Step 2: Convert to fraction form
    60,591/128,958 = 128,958/x
  3. Step 3: Cross multiply
    60,591x = 128,958 × 128,958
  4. Step 4: Simplify right side
    60,591x = 16,630,165,764
  5. Step 5: Solve for x
    x = 16,630,165,764/60,591
  6. Step 6: Final answer
    x = 274,465.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.