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Finding the Third Proportional to 79,024 and 115,416

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Solution

The third proportional to 79,024 and 115,416 is: 168,567.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,024 : 115,416 = 115,416 : x
  2. Step 2: Convert to fraction form
    79,024/115,416 = 115,416/x
  3. Step 3: Cross multiply
    79,024x = 115,416 × 115,416
  4. Step 4: Simplify right side
    79,024x = 13,320,853,056
  5. Step 5: Solve for x
    x = 13,320,853,056/79,024
  6. Step 6: Final answer
    x = 168,567.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.