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Finding the Third Proportional to 101,812 and 168,712.50

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Solution

The third proportional to 101,812 and 168,712.50 is: 279,573.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,812 : 168,712.50 = 168,712.50 : x
  2. Step 2: Convert to fraction form
    101,812/168,712.50 = 168,712.50/x
  3. Step 3: Cross multiply
    101,812x = 168,712.50 × 168,712.50
  4. Step 4: Simplify right side
    101,812x = 28,463,907,656.25
  5. Step 5: Solve for x
    x = 28,463,907,656.25/101,812
  6. Step 6: Final answer
    x = 279,573.21

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.