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Finding the Third Proportional to 104,571 and 157,837.50

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Solution

The third proportional to 104,571 and 157,837.50 is: 238,236.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,571 : 157,837.50 = 157,837.50 : x
  2. Step 2: Convert to fraction form
    104,571/157,837.50 = 157,837.50/x
  3. Step 3: Cross multiply
    104,571x = 157,837.50 × 157,837.50
  4. Step 4: Simplify right side
    104,571x = 24,912,676,406.25
  5. Step 5: Solve for x
    x = 24,912,676,406.25/104,571
  6. Step 6: Final answer
    x = 238,236.95

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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.