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Finding the Third Proportional to 43,046 and 92,600

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Solution

The third proportional to 43,046 and 92,600 is: 199,199.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,046 : 92,600 = 92,600 : x
  2. Step 2: Convert to fraction form
    43,046/92,600 = 92,600/x
  3. Step 3: Cross multiply
    43,046x = 92,600 × 92,600
  4. Step 4: Simplify right side
    43,046x = 8,574,760,000
  5. Step 5: Solve for x
    x = 8,574,760,000/43,046
  6. Step 6: Final answer
    x = 199,199.93

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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.