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Finding the Third Proportional to 79,316 and 116,781

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Solution

The third proportional to 79,316 and 116,781 is: 171,942.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,316 : 116,781 = 116,781 : x
  2. Step 2: Convert to fraction form
    79,316/116,781 = 116,781/x
  3. Step 3: Cross multiply
    79,316x = 116,781 × 116,781
  4. Step 4: Simplify right side
    79,316x = 13,637,801,961
  5. Step 5: Solve for x
    x = 13,637,801,961/79,316
  6. Step 6: Final answer
    x = 171,942.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.