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Finding the Third Proportional to 43,634 and 92,461

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Solution

The third proportional to 43,634 and 92,461 is: 195,926.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,634 : 92,461 = 92,461 : x
  2. Step 2: Convert to fraction form
    43,634/92,461 = 92,461/x
  3. Step 3: Cross multiply
    43,634x = 92,461 × 92,461
  4. Step 4: Simplify right side
    43,634x = 8,549,036,521
  5. Step 5: Solve for x
    x = 8,549,036,521/43,634
  6. Step 6: Final answer
    x = 195,926.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.