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Finding the Third Proportional to 116,277.75 and 174,417.75

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Solution

The third proportional to 116,277.75 and 174,417.75 is: 261,628.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,277.75 : 174,417.75 = 174,417.75 : x
  2. Step 2: Convert to fraction form
    116,277.75/174,417.75 = 174,417.75/x
  3. Step 3: Cross multiply
    116,277.75x = 174,417.75 × 174,417.75
  4. Step 4: Simplify right side
    116,277.75x = 30,421,551,515.06
  5. Step 5: Solve for x
    x = 30,421,551,515.06/116,277.75
  6. Step 6: Final answer
    x = 261,628.31

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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.