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Finding the Third Proportional to 72,964 and 109,860

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Solution

The third proportional to 72,964 and 109,860 is: 165,413.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,964 : 109,860 = 109,860 : x
  2. Step 2: Convert to fraction form
    72,964/109,860 = 109,860/x
  3. Step 3: Cross multiply
    72,964x = 109,860 × 109,860
  4. Step 4: Simplify right side
    72,964x = 12,069,219,600
  5. Step 5: Solve for x
    x = 12,069,219,600/72,964
  6. Step 6: Final answer
    x = 165,413.35

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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.