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Finding the Third Proportional to 41,674.50 and 98,316

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Solution

The third proportional to 41,674.50 and 98,316 is: 231,941.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,674.50 : 98,316 = 98,316 : x
  2. Step 2: Convert to fraction form
    41,674.50/98,316 = 98,316/x
  3. Step 3: Cross multiply
    41,674.50x = 98,316 × 98,316
  4. Step 4: Simplify right side
    41,674.50x = 9,666,035,856
  5. Step 5: Solve for x
    x = 9,666,035,856/41,674.50
  6. Step 6: Final answer
    x = 231,941.26

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.