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Finding the Third Proportional to 77,576 and 117,012

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Solution

The third proportional to 77,576 and 117,012 is: 176,495.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,576 : 117,012 = 117,012 : x
  2. Step 2: Convert to fraction form
    77,576/117,012 = 117,012/x
  3. Step 3: Cross multiply
    77,576x = 117,012 × 117,012
  4. Step 4: Simplify right side
    77,576x = 13,691,808,144
  5. Step 5: Solve for x
    x = 13,691,808,144/77,576
  6. Step 6: Final answer
    x = 176,495.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.