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Finding the Third Proportional to 55,348.75 and 114,635.63

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Solution

The third proportional to 55,348.75 and 114,635.63 is: 237,427.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,348.75 : 114,635.63 = 114,635.63 : x
  2. Step 2: Convert to fraction form
    55,348.75/114,635.63 = 114,635.63/x
  3. Step 3: Cross multiply
    55,348.75x = 114,635.63 × 114,635.63
  4. Step 4: Simplify right side
    55,348.75x = 13,141,326,519.14
  5. Step 5: Solve for x
    x = 13,141,326,519.14/55,348.75
  6. Step 6: Final answer
    x = 237,427.70

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.