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Finding the Third Proportional to 43,719 and 93,671

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Solution

The third proportional to 43,719 and 93,671 is: 200,696.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,719 : 93,671 = 93,671 : x
  2. Step 2: Convert to fraction form
    43,719/93,671 = 93,671/x
  3. Step 3: Cross multiply
    43,719x = 93,671 × 93,671
  4. Step 4: Simplify right side
    43,719x = 8,774,256,241
  5. Step 5: Solve for x
    x = 8,774,256,241/43,719
  6. Step 6: Final answer
    x = 200,696.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.