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Finding the Third Proportional to 94,145 and 143,424

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Solution

The third proportional to 94,145 and 143,424 is: 218,497.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,145 : 143,424 = 143,424 : x
  2. Step 2: Convert to fraction form
    94,145/143,424 = 143,424/x
  3. Step 3: Cross multiply
    94,145x = 143,424 × 143,424
  4. Step 4: Simplify right side
    94,145x = 20,570,443,776
  5. Step 5: Solve for x
    x = 20,570,443,776/94,145
  6. Step 6: Final answer
    x = 218,497.46

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.