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Finding the Third Proportional to 35,133.75 and 78,059.25

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Solution

The third proportional to 35,133.75 and 78,059.25 is: 173,430.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,133.75 : 78,059.25 = 78,059.25 : x
  2. Step 2: Convert to fraction form
    35,133.75/78,059.25 = 78,059.25/x
  3. Step 3: Cross multiply
    35,133.75x = 78,059.25 × 78,059.25
  4. Step 4: Simplify right side
    35,133.75x = 6,093,246,510.56
  5. Step 5: Solve for x
    x = 6,093,246,510.56/35,133.75
  6. Step 6: Final answer
    x = 173,430.01

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.