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Finding the Third Proportional to 46,097.75 and 71,194

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Solution

The third proportional to 46,097.75 and 71,194 is: 109,952.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,097.75 : 71,194 = 71,194 : x
  2. Step 2: Convert to fraction form
    46,097.75/71,194 = 71,194/x
  3. Step 3: Cross multiply
    46,097.75x = 71,194 × 71,194
  4. Step 4: Simplify right side
    46,097.75x = 5,068,585,636
  5. Step 5: Solve for x
    x = 5,068,585,636/46,097.75
  6. Step 6: Final answer
    x = 109,952.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.