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Finding the Third Proportional to 42,031.50 and 91,062

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Solution

The third proportional to 42,031.50 and 91,062 is: 197,287.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,031.50 : 91,062 = 91,062 : x
  2. Step 2: Convert to fraction form
    42,031.50/91,062 = 91,062/x
  3. Step 3: Cross multiply
    42,031.50x = 91,062 × 91,062
  4. Step 4: Simplify right side
    42,031.50x = 8,292,287,844
  5. Step 5: Solve for x
    x = 8,292,287,844/42,031.50
  6. Step 6: Final answer
    x = 197,287.46

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.