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Finding the Third Proportional to 79,338 and 114,639

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Solution

The third proportional to 79,338 and 114,639 is: 165,646.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,338 : 114,639 = 114,639 : x
  2. Step 2: Convert to fraction form
    79,338/114,639 = 114,639/x
  3. Step 3: Cross multiply
    79,338x = 114,639 × 114,639
  4. Step 4: Simplify right side
    79,338x = 13,142,100,321
  5. Step 5: Solve for x
    x = 13,142,100,321/79,338
  6. Step 6: Final answer
    x = 165,646.98

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.