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Finding the Third Proportional to 78,616.50 and 124,546.50

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Solution

The third proportional to 78,616.50 and 124,546.50 is: 197,310.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,616.50 : 124,546.50 = 124,546.50 : x
  2. Step 2: Convert to fraction form
    78,616.50/124,546.50 = 124,546.50/x
  3. Step 3: Cross multiply
    78,616.50x = 124,546.50 × 124,546.50
  4. Step 4: Simplify right side
    78,616.50x = 15,511,830,662.25
  5. Step 5: Solve for x
    x = 15,511,830,662.25/78,616.50
  6. Step 6: Final answer
    x = 197,310.12

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.