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Finding the Third Proportional to 46,068 and 95,416

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Solution

The third proportional to 46,068 and 95,416 is: 197,625.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,068 : 95,416 = 95,416 : x
  2. Step 2: Convert to fraction form
    46,068/95,416 = 95,416/x
  3. Step 3: Cross multiply
    46,068x = 95,416 × 95,416
  4. Step 4: Simplify right side
    46,068x = 9,104,213,056
  5. Step 5: Solve for x
    x = 9,104,213,056/46,068
  6. Step 6: Final answer
    x = 197,625.53

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.