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Finding the Third Proportional to 72,032 and 109,043

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Solution

The third proportional to 72,032 and 109,043 is: 165,070.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,032 : 109,043 = 109,043 : x
  2. Step 2: Convert to fraction form
    72,032/109,043 = 109,043/x
  3. Step 3: Cross multiply
    72,032x = 109,043 × 109,043
  4. Step 4: Simplify right side
    72,032x = 11,890,375,849
  5. Step 5: Solve for x
    x = 11,890,375,849/72,032
  6. Step 6: Final answer
    x = 165,070.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.