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Finding the Third Proportional to 34,303.50 and 74,223

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Solution

The third proportional to 34,303.50 and 74,223 is: 160,597.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,303.50 : 74,223 = 74,223 : x
  2. Step 2: Convert to fraction form
    34,303.50/74,223 = 74,223/x
  3. Step 3: Cross multiply
    34,303.50x = 74,223 × 74,223
  4. Step 4: Simplify right side
    34,303.50x = 5,509,053,729
  5. Step 5: Solve for x
    x = 5,509,053,729/34,303.50
  6. Step 6: Final answer
    x = 160,597.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.