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Finding the Third Proportional to 71,419.22 and 112,995

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Solution

The third proportional to 71,419.22 and 112,995 is: 178,773.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,419.22 : 112,995 = 112,995 : x
  2. Step 2: Convert to fraction form
    71,419.22/112,995 = 112,995/x
  3. Step 3: Cross multiply
    71,419.22x = 112,995 × 112,995
  4. Step 4: Simplify right side
    71,419.22x = 12,767,870,025
  5. Step 5: Solve for x
    x = 12,767,870,025/71,419.22
  6. Step 6: Final answer
    x = 178,773.59

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.