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Finding the Third Proportional to 43,323 and 90,046

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Solution

The third proportional to 43,323 and 90,046 is: 187,158.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,323 : 90,046 = 90,046 : x
  2. Step 2: Convert to fraction form
    43,323/90,046 = 90,046/x
  3. Step 3: Cross multiply
    43,323x = 90,046 × 90,046
  4. Step 4: Simplify right side
    43,323x = 8,108,282,116
  5. Step 5: Solve for x
    x = 8,108,282,116/43,323
  6. Step 6: Final answer
    x = 187,158.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.