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Finding the Third Proportional to 116,564.06 and 174,846.09

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Solution

The third proportional to 116,564.06 and 174,846.09 is: 262,269.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,564.06 : 174,846.09 = 174,846.09 : x
  2. Step 2: Convert to fraction form
    116,564.06/174,846.09 = 174,846.09/x
  3. Step 3: Cross multiply
    116,564.06x = 174,846.09 × 174,846.09
  4. Step 4: Simplify right side
    116,564.06x = 30,571,156,499.63
  5. Step 5: Solve for x
    x = 30,571,156,499.63/116,564.06
  6. Step 6: Final answer
    x = 262,269.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.