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Finding the Third Proportional to 116,613 and 185,645.25

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Solution

The third proportional to 116,613 and 185,645.25 is: 295,543.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,613 : 185,645.25 = 185,645.25 : x
  2. Step 2: Convert to fraction form
    116,613/185,645.25 = 185,645.25/x
  3. Step 3: Cross multiply
    116,613x = 185,645.25 × 185,645.25
  4. Step 4: Simplify right side
    116,613x = 34,464,158,847.56
  5. Step 5: Solve for x
    x = 34,464,158,847.56/116,613
  6. Step 6: Final answer
    x = 295,543.03

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.