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Finding the Third Proportional to 72,651 and 110,063

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Solution

The third proportional to 72,651 and 110,063 is: 166,740.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,651 : 110,063 = 110,063 : x
  2. Step 2: Convert to fraction form
    72,651/110,063 = 110,063/x
  3. Step 3: Cross multiply
    72,651x = 110,063 × 110,063
  4. Step 4: Simplify right side
    72,651x = 12,113,863,969
  5. Step 5: Solve for x
    x = 12,113,863,969/72,651
  6. Step 6: Final answer
    x = 166,740.50

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Why These Related Problems?

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