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Finding the Third Proportional to 52,024 and 112,256

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Solution

The third proportional to 52,024 and 112,256 is: 242,223.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,024 : 112,256 = 112,256 : x
  2. Step 2: Convert to fraction form
    52,024/112,256 = 112,256/x
  3. Step 3: Cross multiply
    52,024x = 112,256 × 112,256
  4. Step 4: Simplify right side
    52,024x = 12,601,409,536
  5. Step 5: Solve for x
    x = 12,601,409,536/52,024
  6. Step 6: Final answer
    x = 242,223.00

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.