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Finding the Third Proportional to 94,390 and 142,794

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Solution

The third proportional to 94,390 and 142,794 is: 216,019.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,390 : 142,794 = 142,794 : x
  2. Step 2: Convert to fraction form
    94,390/142,794 = 142,794/x
  3. Step 3: Cross multiply
    94,390x = 142,794 × 142,794
  4. Step 4: Simplify right side
    94,390x = 20,390,126,436
  5. Step 5: Solve for x
    x = 20,390,126,436/94,390
  6. Step 6: Final answer
    x = 216,019.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.