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Finding the Third Proportional to 42,286.63 and 90,952

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Solution

The third proportional to 42,286.63 and 90,952 is: 195,623.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,286.63 : 90,952 = 90,952 : x
  2. Step 2: Convert to fraction form
    42,286.63/90,952 = 90,952/x
  3. Step 3: Cross multiply
    42,286.63x = 90,952 × 90,952
  4. Step 4: Simplify right side
    42,286.63x = 8,272,266,304
  5. Step 5: Solve for x
    x = 8,272,266,304/42,286.63
  6. Step 6: Final answer
    x = 195,623.71

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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.