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Finding the Third Proportional to 68,970.23 and 106,832.67

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Solution

The third proportional to 68,970.23 and 106,832.67 is: 165,480.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,970.23 : 106,832.67 = 106,832.67 : x
  2. Step 2: Convert to fraction form
    68,970.23/106,832.67 = 106,832.67/x
  3. Step 3: Cross multiply
    68,970.23x = 106,832.67 × 106,832.67
  4. Step 4: Simplify right side
    68,970.23x = 11,413,219,779.95
  5. Step 5: Solve for x
    x = 11,413,219,779.95/68,970.23
  6. Step 6: Final answer
    x = 165,480.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.