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Finding the Third Proportional to 35,751.38 and 68,256

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Solution

The third proportional to 35,751.38 and 68,256 is: 130,313.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,751.38 : 68,256 = 68,256 : x
  2. Step 2: Convert to fraction form
    35,751.38/68,256 = 68,256/x
  3. Step 3: Cross multiply
    35,751.38x = 68,256 × 68,256
  4. Step 4: Simplify right side
    35,751.38x = 4,658,881,536
  5. Step 5: Solve for x
    x = 4,658,881,536/35,751.38
  6. Step 6: Final answer
    x = 130,313.35

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These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.