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Finding the Third Proportional to 79,319 and 116,785

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Solution

The third proportional to 79,319 and 116,785 is: 171,947.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,319 : 116,785 = 116,785 : x
  2. Step 2: Convert to fraction form
    79,319/116,785 = 116,785/x
  3. Step 3: Cross multiply
    79,319x = 116,785 × 116,785
  4. Step 4: Simplify right side
    79,319x = 13,638,736,225
  5. Step 5: Solve for x
    x = 13,638,736,225/79,319
  6. Step 6: Final answer
    x = 171,947.91

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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.