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Finding the Third Proportional to 103,464.50 and 158,205

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Solution

The third proportional to 103,464.50 and 158,205 is: 241,907.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,464.50 : 158,205 = 158,205 : x
  2. Step 2: Convert to fraction form
    103,464.50/158,205 = 158,205/x
  3. Step 3: Cross multiply
    103,464.50x = 158,205 × 158,205
  4. Step 4: Simplify right side
    103,464.50x = 25,028,822,025
  5. Step 5: Solve for x
    x = 25,028,822,025/103,464.50
  6. Step 6: Final answer
    x = 241,907.34

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.