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Finding the Third Proportional to 53,673 and 78,868.50

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Solution

The third proportional to 53,673 and 78,868.50 is: 115,891.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,673 : 78,868.50 = 78,868.50 : x
  2. Step 2: Convert to fraction form
    53,673/78,868.50 = 78,868.50/x
  3. Step 3: Cross multiply
    53,673x = 78,868.50 × 78,868.50
  4. Step 4: Simplify right side
    53,673x = 6,220,240,292.25
  5. Step 5: Solve for x
    x = 6,220,240,292.25/53,673
  6. Step 6: Final answer
    x = 115,891.42

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.