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Finding the Third Proportional to 105,003 and 158,044.50

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Solution

The third proportional to 105,003 and 158,044.50 is: 237,879.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,003 : 158,044.50 = 158,044.50 : x
  2. Step 2: Convert to fraction form
    105,003/158,044.50 = 158,044.50/x
  3. Step 3: Cross multiply
    105,003x = 158,044.50 × 158,044.50
  4. Step 4: Simplify right side
    105,003x = 24,978,063,980.25
  5. Step 5: Solve for x
    x = 24,978,063,980.25/105,003
  6. Step 6: Final answer
    x = 237,879.53

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.