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Finding the Third Proportional to 79,969 and 119,513

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Solution

The third proportional to 79,969 and 119,513 is: 178,611.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,969 : 119,513 = 119,513 : x
  2. Step 2: Convert to fraction form
    79,969/119,513 = 119,513/x
  3. Step 3: Cross multiply
    79,969x = 119,513 × 119,513
  4. Step 4: Simplify right side
    79,969x = 14,283,357,169
  5. Step 5: Solve for x
    x = 14,283,357,169/79,969
  6. Step 6: Final answer
    x = 178,611.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.