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Finding the Third Proportional to 104,844 and 157,842

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Solution

The third proportional to 104,844 and 157,842 is: 237,630.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,844 : 157,842 = 157,842 : x
  2. Step 2: Convert to fraction form
    104,844/157,842 = 157,842/x
  3. Step 3: Cross multiply
    104,844x = 157,842 × 157,842
  4. Step 4: Simplify right side
    104,844x = 24,914,096,964
  5. Step 5: Solve for x
    x = 24,914,096,964/104,844
  6. Step 6: Final answer
    x = 237,630.16

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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.