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Finding the Third Proportional to 53,763.75 and 110,534.63

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Solution

The third proportional to 53,763.75 and 110,534.63 is: 227,251.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,763.75 : 110,534.63 = 110,534.63 : x
  2. Step 2: Convert to fraction form
    53,763.75/110,534.63 = 110,534.63/x
  3. Step 3: Cross multiply
    53,763.75x = 110,534.63 × 110,534.63
  4. Step 4: Simplify right side
    53,763.75x = 12,217,903,323.89
  5. Step 5: Solve for x
    x = 12,217,903,323.89/53,763.75
  6. Step 6: Final answer
    x = 227,251.70

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.