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Finding the Third Proportional to 32,250.88 and 68,420.25

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Solution

The third proportional to 32,250.88 and 68,420.25 is: 145,153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,250.88 : 68,420.25 = 68,420.25 : x
  2. Step 2: Convert to fraction form
    32,250.88/68,420.25 = 68,420.25/x
  3. Step 3: Cross multiply
    32,250.88x = 68,420.25 × 68,420.25
  4. Step 4: Simplify right side
    32,250.88x = 4,681,330,610.06
  5. Step 5: Solve for x
    x = 4,681,330,610.06/32,250.88
  6. Step 6: Final answer
    x = 145,153.60

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.