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Finding the Third Proportional to 104,840 and 157,836

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Solution

The third proportional to 104,840 and 157,836 is: 237,621.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,840 : 157,836 = 157,836 : x
  2. Step 2: Convert to fraction form
    104,840/157,836 = 157,836/x
  3. Step 3: Cross multiply
    104,840x = 157,836 × 157,836
  4. Step 4: Simplify right side
    104,840x = 24,912,202,896
  5. Step 5: Solve for x
    x = 24,912,202,896/104,840
  6. Step 6: Final answer
    x = 237,621.16

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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.