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Finding the Third Proportional to 72,932 and 109,276

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Solution

The third proportional to 72,932 and 109,276 is: 163,731.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,932 : 109,276 = 109,276 : x
  2. Step 2: Convert to fraction form
    72,932/109,276 = 109,276/x
  3. Step 3: Cross multiply
    72,932x = 109,276 × 109,276
  4. Step 4: Simplify right side
    72,932x = 11,941,244,176
  5. Step 5: Solve for x
    x = 11,941,244,176/72,932
  6. Step 6: Final answer
    x = 163,731.20

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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.