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Finding the Third Proportional to 103,318 and 158,037

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Solution

The third proportional to 103,318 and 158,037 is: 241,736.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,318 : 158,037 = 158,037 : x
  2. Step 2: Convert to fraction form
    103,318/158,037 = 158,037/x
  3. Step 3: Cross multiply
    103,318x = 158,037 × 158,037
  4. Step 4: Simplify right side
    103,318x = 24,975,693,369
  5. Step 5: Solve for x
    x = 24,975,693,369/103,318
  6. Step 6: Final answer
    x = 241,736.13

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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.