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Finding the Third Proportional to 71,779.50 and 110,180.25

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Solution

The third proportional to 71,779.50 and 110,180.25 is: 169,124.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,779.50 : 110,180.25 = 110,180.25 : x
  2. Step 2: Convert to fraction form
    71,779.50/110,180.25 = 110,180.25/x
  3. Step 3: Cross multiply
    71,779.50x = 110,180.25 × 110,180.25
  4. Step 4: Simplify right side
    71,779.50x = 12,139,687,490.06
  5. Step 5: Solve for x
    x = 12,139,687,490.06/71,779.50
  6. Step 6: Final answer
    x = 169,124.72

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.