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Finding the Third Proportional to 51,321 and 112,255

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Solution

The third proportional to 51,321 and 112,255 is: 245,536.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,321 : 112,255 = 112,255 : x
  2. Step 2: Convert to fraction form
    51,321/112,255 = 112,255/x
  3. Step 3: Cross multiply
    51,321x = 112,255 × 112,255
  4. Step 4: Simplify right side
    51,321x = 12,601,185,025
  5. Step 5: Solve for x
    x = 12,601,185,025/51,321
  6. Step 6: Final answer
    x = 245,536.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.