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Finding the Third Proportional to 103,423.25 and 158,142

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Solution

The third proportional to 103,423.25 and 158,142 is: 241,811.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,423.25 : 158,142 = 158,142 : x
  2. Step 2: Convert to fraction form
    103,423.25/158,142 = 158,142/x
  3. Step 3: Cross multiply
    103,423.25x = 158,142 × 158,142
  4. Step 4: Simplify right side
    103,423.25x = 25,008,892,164
  5. Step 5: Solve for x
    x = 25,008,892,164/103,423.25
  6. Step 6: Final answer
    x = 241,811.12

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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.