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Finding the Third Proportional to 31,234 and 66,090.50

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Solution

The third proportional to 31,234 and 66,090.50 is: 139,846.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,234 : 66,090.50 = 66,090.50 : x
  2. Step 2: Convert to fraction form
    31,234/66,090.50 = 66,090.50/x
  3. Step 3: Cross multiply
    31,234x = 66,090.50 × 66,090.50
  4. Step 4: Simplify right side
    31,234x = 4,367,954,190.25
  5. Step 5: Solve for x
    x = 4,367,954,190.25/31,234
  6. Step 6: Final answer
    x = 139,846.14

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.