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Finding the Third Proportional to 76,158 and 119,097

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Solution

The third proportional to 76,158 and 119,097 is: 186,245.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,158 : 119,097 = 119,097 : x
  2. Step 2: Convert to fraction form
    76,158/119,097 = 119,097/x
  3. Step 3: Cross multiply
    76,158x = 119,097 × 119,097
  4. Step 4: Simplify right side
    76,158x = 14,184,095,409
  5. Step 5: Solve for x
    x = 14,184,095,409/76,158
  6. Step 6: Final answer
    x = 186,245.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.