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Finding the Third Proportional to 52,984 and 82,604

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Solution

The third proportional to 52,984 and 82,604 is: 128,782.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,984 : 82,604 = 82,604 : x
  2. Step 2: Convert to fraction form
    52,984/82,604 = 82,604/x
  3. Step 3: Cross multiply
    52,984x = 82,604 × 82,604
  4. Step 4: Simplify right side
    52,984x = 6,823,420,816
  5. Step 5: Solve for x
    x = 6,823,420,816/52,984
  6. Step 6: Final answer
    x = 128,782.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.