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Finding the Third Proportional to 52,427.50 and 114,071

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Solution

The third proportional to 52,427.50 and 114,071 is: 248,194.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,427.50 : 114,071 = 114,071 : x
  2. Step 2: Convert to fraction form
    52,427.50/114,071 = 114,071/x
  3. Step 3: Cross multiply
    52,427.50x = 114,071 × 114,071
  4. Step 4: Simplify right side
    52,427.50x = 13,012,193,041
  5. Step 5: Solve for x
    x = 13,012,193,041/52,427.50
  6. Step 6: Final answer
    x = 248,194.04

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.