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Finding the Third Proportional to 107,059.50 and 144,208.50

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Solution

The third proportional to 107,059.50 and 144,208.50 is: 194,247.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,059.50 : 144,208.50 = 144,208.50 : x
  2. Step 2: Convert to fraction form
    107,059.50/144,208.50 = 144,208.50/x
  3. Step 3: Cross multiply
    107,059.50x = 144,208.50 × 144,208.50
  4. Step 4: Simplify right side
    107,059.50x = 20,796,091,472.25
  5. Step 5: Solve for x
    x = 20,796,091,472.25/107,059.50
  6. Step 6: Final answer
    x = 194,247.98

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.