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Finding the Third Proportional to 40,068 and 94,590

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Solution

The third proportional to 40,068 and 94,590 is: 223,302.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,068 : 94,590 = 94,590 : x
  2. Step 2: Convert to fraction form
    40,068/94,590 = 94,590/x
  3. Step 3: Cross multiply
    40,068x = 94,590 × 94,590
  4. Step 4: Simplify right side
    40,068x = 8,947,268,100
  5. Step 5: Solve for x
    x = 8,947,268,100/40,068
  6. Step 6: Final answer
    x = 223,302.09

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.