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Finding the Third Proportional to 94,014 and 141,041.25

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Solution

The third proportional to 94,014 and 141,041.25 is: 211,592.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,014 : 141,041.25 = 141,041.25 : x
  2. Step 2: Convert to fraction form
    94,014/141,041.25 = 141,041.25/x
  3. Step 3: Cross multiply
    94,014x = 141,041.25 × 141,041.25
  4. Step 4: Simplify right side
    94,014x = 19,892,634,201.56
  5. Step 5: Solve for x
    x = 19,892,634,201.56/94,014
  6. Step 6: Final answer
    x = 211,592.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.