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Finding the Third Proportional to 64,693.50 and 96,770.25

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Solution

The third proportional to 64,693.50 and 96,770.25 is: 144,751.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,693.50 : 96,770.25 = 96,770.25 : x
  2. Step 2: Convert to fraction form
    64,693.50/96,770.25 = 96,770.25/x
  3. Step 3: Cross multiply
    64,693.50x = 96,770.25 × 96,770.25
  4. Step 4: Simplify right side
    64,693.50x = 9,364,481,285.06
  5. Step 5: Solve for x
    x = 9,364,481,285.06/64,693.50
  6. Step 6: Final answer
    x = 144,751.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.