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Finding the Third Proportional to 72,804 and 109,718

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Solution

The third proportional to 72,804 and 109,718 is: 165,348.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,804 : 109,718 = 109,718 : x
  2. Step 2: Convert to fraction form
    72,804/109,718 = 109,718/x
  3. Step 3: Cross multiply
    72,804x = 109,718 × 109,718
  4. Step 4: Simplify right side
    72,804x = 12,038,039,524
  5. Step 5: Solve for x
    x = 12,038,039,524/72,804
  6. Step 6: Final answer
    x = 165,348.60

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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.