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Finding the Third Proportional to 43,026 and 92,643

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Solution

The third proportional to 43,026 and 92,643 is: 199,477.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,026 : 92,643 = 92,643 : x
  2. Step 2: Convert to fraction form
    43,026/92,643 = 92,643/x
  3. Step 3: Cross multiply
    43,026x = 92,643 × 92,643
  4. Step 4: Simplify right side
    43,026x = 8,582,725,449
  5. Step 5: Solve for x
    x = 8,582,725,449/43,026
  6. Step 6: Final answer
    x = 199,477.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.