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Finding the Third Proportional to 45,994 and 98,552

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Solution

The third proportional to 45,994 and 98,552 is: 211,168.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,994 : 98,552 = 98,552 : x
  2. Step 2: Convert to fraction form
    45,994/98,552 = 98,552/x
  3. Step 3: Cross multiply
    45,994x = 98,552 × 98,552
  4. Step 4: Simplify right side
    45,994x = 9,712,496,704
  5. Step 5: Solve for x
    x = 9,712,496,704/45,994
  6. Step 6: Final answer
    x = 211,168.78

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.