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Finding the Third Proportional to 79,319 and 116,791

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Solution

The third proportional to 79,319 and 116,791 is: 171,965.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,319 : 116,791 = 116,791 : x
  2. Step 2: Convert to fraction form
    79,319/116,791 = 116,791/x
  3. Step 3: Cross multiply
    79,319x = 116,791 × 116,791
  4. Step 4: Simplify right side
    79,319x = 13,640,137,681
  5. Step 5: Solve for x
    x = 13,640,137,681/79,319
  6. Step 6: Final answer
    x = 171,965.58

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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.