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Finding the Third Proportional to 72,652 and 109,053

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Solution

The third proportional to 72,652 and 109,053 is: 163,692.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,652 : 109,053 = 109,053 : x
  2. Step 2: Convert to fraction form
    72,652/109,053 = 109,053/x
  3. Step 3: Cross multiply
    72,652x = 109,053 × 109,053
  4. Step 4: Simplify right side
    72,652x = 11,892,556,809
  5. Step 5: Solve for x
    x = 11,892,556,809/72,652
  6. Step 6: Final answer
    x = 163,692.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.