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Finding the Third Proportional to 65,653.50 and 98,456.25

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Solution

The third proportional to 65,653.50 and 98,456.25 is: 147,648.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,653.50 : 98,456.25 = 98,456.25 : x
  2. Step 2: Convert to fraction form
    65,653.50/98,456.25 = 98,456.25/x
  3. Step 3: Cross multiply
    65,653.50x = 98,456.25 × 98,456.25
  4. Step 4: Simplify right side
    65,653.50x = 9,693,633,164.06
  5. Step 5: Solve for x
    x = 9,693,633,164.06/65,653.50
  6. Step 6: Final answer
    x = 147,648.38

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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.