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Finding the Third Proportional to 43,460.50 and 90,252

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Solution

The third proportional to 43,460.50 and 90,252 is: 187,421.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,460.50 : 90,252 = 90,252 : x
  2. Step 2: Convert to fraction form
    43,460.50/90,252 = 90,252/x
  3. Step 3: Cross multiply
    43,460.50x = 90,252 × 90,252
  4. Step 4: Simplify right side
    43,460.50x = 8,145,423,504
  5. Step 5: Solve for x
    x = 8,145,423,504/43,460.50
  6. Step 6: Final answer
    x = 187,421.30

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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.