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Finding the Third Proportional to 104,562 and 157,824

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Solution

The third proportional to 104,562 and 157,824 is: 238,216.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,562 : 157,824 = 157,824 : x
  2. Step 2: Convert to fraction form
    104,562/157,824 = 157,824/x
  3. Step 3: Cross multiply
    104,562x = 157,824 × 157,824
  4. Step 4: Simplify right side
    104,562x = 24,908,414,976
  5. Step 5: Solve for x
    x = 24,908,414,976/104,562
  6. Step 6: Final answer
    x = 238,216.70

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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.