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Finding the Third Proportional to 103,438.50 and 158,127

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Solution

The third proportional to 103,438.50 and 158,127 is: 241,729.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,438.50 : 158,127 = 158,127 : x
  2. Step 2: Convert to fraction form
    103,438.50/158,127 = 158,127/x
  3. Step 3: Cross multiply
    103,438.50x = 158,127 × 158,127
  4. Step 4: Simplify right side
    103,438.50x = 25,004,148,129
  5. Step 5: Solve for x
    x = 25,004,148,129/103,438.50
  6. Step 6: Final answer
    x = 241,729.61

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Why These Related Problems?

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