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Finding the Third Proportional to 104,037 and 157,148

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Solution

The third proportional to 104,037 and 157,148 is: 237,372.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,037 : 157,148 = 157,148 : x
  2. Step 2: Convert to fraction form
    104,037/157,148 = 157,148/x
  3. Step 3: Cross multiply
    104,037x = 157,148 × 157,148
  4. Step 4: Simplify right side
    104,037x = 24,695,493,904
  5. Step 5: Solve for x
    x = 24,695,493,904/104,037
  6. Step 6: Final answer
    x = 237,372.22

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Why These Related Problems?

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