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Finding the Third Proportional to 51,485.63 and 110,871.28

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Solution

The third proportional to 51,485.63 and 110,871.28 is: 238,754.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,485.63 : 110,871.28 = 110,871.28 : x
  2. Step 2: Convert to fraction form
    51,485.63/110,871.28 = 110,871.28/x
  3. Step 3: Cross multiply
    51,485.63x = 110,871.28 × 110,871.28
  4. Step 4: Simplify right side
    51,485.63x = 12,292,441,006.02
  5. Step 5: Solve for x
    x = 12,292,441,006.02/51,485.63
  6. Step 6: Final answer
    x = 238,754.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.