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Finding the Third Proportional to 32,458.25 and 68,196.25

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Solution

The third proportional to 32,458.25 and 68,196.25 is: 143,283.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,458.25 : 68,196.25 = 68,196.25 : x
  2. Step 2: Convert to fraction form
    32,458.25/68,196.25 = 68,196.25/x
  3. Step 3: Cross multiply
    32,458.25x = 68,196.25 × 68,196.25
  4. Step 4: Simplify right side
    32,458.25x = 4,650,728,514.06
  5. Step 5: Solve for x
    x = 4,650,728,514.06/32,458.25
  6. Step 6: Final answer
    x = 143,283.40

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.