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Finding the Third Proportional to 77,930 and 182,513

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Solution

The third proportional to 77,930 and 182,513 is: 427,447.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,930 : 182,513 = 182,513 : x
  2. Step 2: Convert to fraction form
    77,930/182,513 = 182,513/x
  3. Step 3: Cross multiply
    77,930x = 182,513 × 182,513
  4. Step 4: Simplify right side
    77,930x = 33,310,995,169
  5. Step 5: Solve for x
    x = 33,310,995,169/77,930
  6. Step 6: Final answer
    x = 427,447.65

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.