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Finding the Third Proportional to 124,837 and 182,583.50

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Solution

The third proportional to 124,837 and 182,583.50 is: 267,042.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,837 : 182,583.50 = 182,583.50 : x
  2. Step 2: Convert to fraction form
    124,837/182,583.50 = 182,583.50/x
  3. Step 3: Cross multiply
    124,837x = 182,583.50 × 182,583.50
  4. Step 4: Simplify right side
    124,837x = 33,336,734,472.25
  5. Step 5: Solve for x
    x = 33,336,734,472.25/124,837
  6. Step 6: Final answer
    x = 267,042.10

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.