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Finding the Third Proportional to 76,006 and 116,997

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Solution

The third proportional to 76,006 and 116,997 is: 180,094.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,006 : 116,997 = 116,997 : x
  2. Step 2: Convert to fraction form
    76,006/116,997 = 116,997/x
  3. Step 3: Cross multiply
    76,006x = 116,997 × 116,997
  4. Step 4: Simplify right side
    76,006x = 13,688,298,009
  5. Step 5: Solve for x
    x = 13,688,298,009/76,006
  6. Step 6: Final answer
    x = 180,094.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.