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Finding the Third Proportional to 78,050.50 and 167,947.50

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Solution

The third proportional to 78,050.50 and 167,947.50 is: 361,386.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,050.50 : 167,947.50 = 167,947.50 : x
  2. Step 2: Convert to fraction form
    78,050.50/167,947.50 = 167,947.50/x
  3. Step 3: Cross multiply
    78,050.50x = 167,947.50 × 167,947.50
  4. Step 4: Simplify right side
    78,050.50x = 28,206,362,756.25
  5. Step 5: Solve for x
    x = 28,206,362,756.25/78,050.50
  6. Step 6: Final answer
    x = 361,386.06

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.