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Finding the Third Proportional to 51,994 and 112,628

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Solution

The third proportional to 51,994 and 112,628 is: 243,971.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,994 : 112,628 = 112,628 : x
  2. Step 2: Convert to fraction form
    51,994/112,628 = 112,628/x
  3. Step 3: Cross multiply
    51,994x = 112,628 × 112,628
  4. Step 4: Simplify right side
    51,994x = 12,685,066,384
  5. Step 5: Solve for x
    x = 12,685,066,384/51,994
  6. Step 6: Final answer
    x = 243,971.73

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.