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Finding the Third Proportional to 49,216.13 and 76,352.25

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Solution

The third proportional to 49,216.13 and 76,352.25 is: 118,450.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,216.13 : 76,352.25 = 76,352.25 : x
  2. Step 2: Convert to fraction form
    49,216.13/76,352.25 = 76,352.25/x
  3. Step 3: Cross multiply
    49,216.13x = 76,352.25 × 76,352.25
  4. Step 4: Simplify right side
    49,216.13x = 5,829,666,080.06
  5. Step 5: Solve for x
    x = 5,829,666,080.06/49,216.13
  6. Step 6: Final answer
    x = 118,450.33

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.