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Finding the Third Proportional to 82,647.84 and 122,756.34

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Solution

The third proportional to 82,647.84 and 122,756.34 is: 182,329.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,647.84 : 122,756.34 = 122,756.34 : x
  2. Step 2: Convert to fraction form
    82,647.84/122,756.34 = 122,756.34/x
  3. Step 3: Cross multiply
    82,647.84x = 122,756.34 × 122,756.34
  4. Step 4: Simplify right side
    82,647.84x = 15,069,119,930.87
  5. Step 5: Solve for x
    x = 15,069,119,930.87/82,647.84
  6. Step 6: Final answer
    x = 182,329.26

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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.