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Finding the Third Proportional to 94,554 and 139,964

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Solution

The third proportional to 94,554 and 139,964 is: 207,182.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,554 : 139,964 = 139,964 : x
  2. Step 2: Convert to fraction form
    94,554/139,964 = 139,964/x
  3. Step 3: Cross multiply
    94,554x = 139,964 × 139,964
  4. Step 4: Simplify right side
    94,554x = 19,589,921,296
  5. Step 5: Solve for x
    x = 19,589,921,296/94,554
  6. Step 6: Final answer
    x = 207,182.36

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.