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Finding the Third Proportional to 92,954 and 139,643

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Solution

The third proportional to 92,954 and 139,643 is: 209,782.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,954 : 139,643 = 139,643 : x
  2. Step 2: Convert to fraction form
    92,954/139,643 = 139,643/x
  3. Step 3: Cross multiply
    92,954x = 139,643 × 139,643
  4. Step 4: Simplify right side
    92,954x = 19,500,167,449
  5. Step 5: Solve for x
    x = 19,500,167,449/92,954
  6. Step 6: Final answer
    x = 209,782.98

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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.