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Finding the Third Proportional to 43,028 and 92,854

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Solution

The third proportional to 43,028 and 92,854 is: 200,378.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,028 : 92,854 = 92,854 : x
  2. Step 2: Convert to fraction form
    43,028/92,854 = 92,854/x
  3. Step 3: Cross multiply
    43,028x = 92,854 × 92,854
  4. Step 4: Simplify right side
    43,028x = 8,621,865,316
  5. Step 5: Solve for x
    x = 8,621,865,316/43,028
  6. Step 6: Final answer
    x = 200,378.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.