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Finding the Third Proportional to 49,852.50 and 107,530.50

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Solution

The third proportional to 49,852.50 and 107,530.50 is: 231,940.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,852.50 : 107,530.50 = 107,530.50 : x
  2. Step 2: Convert to fraction form
    49,852.50/107,530.50 = 107,530.50/x
  3. Step 3: Cross multiply
    49,852.50x = 107,530.50 × 107,530.50
  4. Step 4: Simplify right side
    49,852.50x = 11,562,808,430.25
  5. Step 5: Solve for x
    x = 11,562,808,430.25/49,852.50
  6. Step 6: Final answer
    x = 231,940.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.