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Finding the Third Proportional to 72,577.13 and 109,959.75

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Solution

The third proportional to 72,577.13 and 109,959.75 is: 166,597.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,577.13 : 109,959.75 = 109,959.75 : x
  2. Step 2: Convert to fraction form
    72,577.13/109,959.75 = 109,959.75/x
  3. Step 3: Cross multiply
    72,577.13x = 109,959.75 × 109,959.75
  4. Step 4: Simplify right side
    72,577.13x = 12,091,146,620.06
  5. Step 5: Solve for x
    x = 12,091,146,620.06/72,577.13
  6. Step 6: Final answer
    x = 166,597.21

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.