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Finding the Third Proportional to 78,808.50 and 108,427.50

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Solution

The third proportional to 78,808.50 and 108,427.50 is: 149,178.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,808.50 : 108,427.50 = 108,427.50 : x
  2. Step 2: Convert to fraction form
    78,808.50/108,427.50 = 108,427.50/x
  3. Step 3: Cross multiply
    78,808.50x = 108,427.50 × 108,427.50
  4. Step 4: Simplify right side
    78,808.50x = 11,756,522,756.25
  5. Step 5: Solve for x
    x = 11,756,522,756.25/78,808.50
  6. Step 6: Final answer
    x = 149,178.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.