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Finding the Third Proportional to 59,072 and 79,576

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Solution

The third proportional to 59,072 and 79,576 is: 107,196.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,072 : 79,576 = 79,576 : x
  2. Step 2: Convert to fraction form
    59,072/79,576 = 79,576/x
  3. Step 3: Cross multiply
    59,072x = 79,576 × 79,576
  4. Step 4: Simplify right side
    59,072x = 6,332,339,776
  5. Step 5: Solve for x
    x = 6,332,339,776/59,072
  6. Step 6: Final answer
    x = 107,196.98

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.