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Finding the Third Proportional to 72,812 and 109,887

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Solution

The third proportional to 72,812 and 109,887 is: 165,840.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,812 : 109,887 = 109,887 : x
  2. Step 2: Convert to fraction form
    72,812/109,887 = 109,887/x
  3. Step 3: Cross multiply
    72,812x = 109,887 × 109,887
  4. Step 4: Simplify right side
    72,812x = 12,075,152,769
  5. Step 5: Solve for x
    x = 12,075,152,769/72,812
  6. Step 6: Final answer
    x = 165,840.15

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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.