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Finding the Third Proportional to 79,969 and 185,130

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Solution

The third proportional to 79,969 and 185,130 is: 428,580.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,969 : 185,130 = 185,130 : x
  2. Step 2: Convert to fraction form
    79,969/185,130 = 185,130/x
  3. Step 3: Cross multiply
    79,969x = 185,130 × 185,130
  4. Step 4: Simplify right side
    79,969x = 34,273,116,900
  5. Step 5: Solve for x
    x = 34,273,116,900/79,969
  6. Step 6: Final answer
    x = 428,580.04

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.