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Finding the Third Proportional to 72,904 and 112,392

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Solution

The third proportional to 72,904 and 112,392 is: 173,268.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,904 : 112,392 = 112,392 : x
  2. Step 2: Convert to fraction form
    72,904/112,392 = 112,392/x
  3. Step 3: Cross multiply
    72,904x = 112,392 × 112,392
  4. Step 4: Simplify right side
    72,904x = 12,631,961,664
  5. Step 5: Solve for x
    x = 12,631,961,664/72,904
  6. Step 6: Final answer
    x = 173,268.43

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.