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Finding the Third Proportional to 73,424 and 116,700

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Solution

The third proportional to 73,424 and 116,700 is: 185,482.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,424 : 116,700 = 116,700 : x
  2. Step 2: Convert to fraction form
    73,424/116,700 = 116,700/x
  3. Step 3: Cross multiply
    73,424x = 116,700 × 116,700
  4. Step 4: Simplify right side
    73,424x = 13,618,890,000
  5. Step 5: Solve for x
    x = 13,618,890,000/73,424
  6. Step 6: Final answer
    x = 185,482.81

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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.