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Finding the Third Proportional to 36,004 and 78,506

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Solution

The third proportional to 36,004 and 78,506 is: 171,180.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,004 : 78,506 = 78,506 : x
  2. Step 2: Convert to fraction form
    36,004/78,506 = 78,506/x
  3. Step 3: Cross multiply
    36,004x = 78,506 × 78,506
  4. Step 4: Simplify right side
    36,004x = 6,163,192,036
  5. Step 5: Solve for x
    x = 6,163,192,036/36,004
  6. Step 6: Final answer
    x = 171,180.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.