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Finding the Third Proportional to 64,994 and 141,884

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Solution

The third proportional to 64,994 and 141,884 is: 309,737.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,994 : 141,884 = 141,884 : x
  2. Step 2: Convert to fraction form
    64,994/141,884 = 141,884/x
  3. Step 3: Cross multiply
    64,994x = 141,884 × 141,884
  4. Step 4: Simplify right side
    64,994x = 20,131,069,456
  5. Step 5: Solve for x
    x = 20,131,069,456/64,994
  6. Step 6: Final answer
    x = 309,737.35

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.