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Finding the Third Proportional to 94,391 and 142,796

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Solution

The third proportional to 94,391 and 142,796 is: 216,023.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,391 : 142,796 = 142,796 : x
  2. Step 2: Convert to fraction form
    94,391/142,796 = 142,796/x
  3. Step 3: Cross multiply
    94,391x = 142,796 × 142,796
  4. Step 4: Simplify right side
    94,391x = 20,390,697,616
  5. Step 5: Solve for x
    x = 20,390,697,616/94,391
  6. Step 6: Final answer
    x = 216,023.75

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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.