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Finding the Third Proportional to 42,604 and 89,613.75

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Solution

The third proportional to 42,604 and 89,613.75 is: 188,494.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,604 : 89,613.75 = 89,613.75 : x
  2. Step 2: Convert to fraction form
    42,604/89,613.75 = 89,613.75/x
  3. Step 3: Cross multiply
    42,604x = 89,613.75 × 89,613.75
  4. Step 4: Simplify right side
    42,604x = 8,030,624,189.06
  5. Step 5: Solve for x
    x = 8,030,624,189.06/42,604
  6. Step 6: Final answer
    x = 188,494.61

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.