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Finding the Third Proportional to 86,467.50 and 112,205.25

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Solution

The third proportional to 86,467.50 and 112,205.25 is: 145,604.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,467.50 : 112,205.25 = 112,205.25 : x
  2. Step 2: Convert to fraction form
    86,467.50/112,205.25 = 112,205.25/x
  3. Step 3: Cross multiply
    86,467.50x = 112,205.25 × 112,205.25
  4. Step 4: Simplify right side
    86,467.50x = 12,590,018,127.56
  5. Step 5: Solve for x
    x = 12,590,018,127.56/86,467.50
  6. Step 6: Final answer
    x = 145,604.05

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.