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Finding the Third Proportional to 72,400 and 115,158

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Solution

The third proportional to 72,400 and 115,158 is: 183,168.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,400 : 115,158 = 115,158 : x
  2. Step 2: Convert to fraction form
    72,400/115,158 = 115,158/x
  3. Step 3: Cross multiply
    72,400x = 115,158 × 115,158
  4. Step 4: Simplify right side
    72,400x = 13,261,364,964
  5. Step 5: Solve for x
    x = 13,261,364,964/72,400
  6. Step 6: Final answer
    x = 183,168.02

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.