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Finding the Third Proportional to 112,743 and 262,165.50

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Solution

The third proportional to 112,743 and 262,165.50 is: 609,623.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,743 : 262,165.50 = 262,165.50 : x
  2. Step 2: Convert to fraction form
    112,743/262,165.50 = 262,165.50/x
  3. Step 3: Cross multiply
    112,743x = 262,165.50 × 262,165.50
  4. Step 4: Simplify right side
    112,743x = 68,730,749,390.25
  5. Step 5: Solve for x
    x = 68,730,749,390.25/112,743
  6. Step 6: Final answer
    x = 609,623.21

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.