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Finding the Third Proportional to 52,634 and 78,702

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Solution

The third proportional to 52,634 and 78,702 is: 117,680.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,634 : 78,702 = 78,702 : x
  2. Step 2: Convert to fraction form
    52,634/78,702 = 78,702/x
  3. Step 3: Cross multiply
    52,634x = 78,702 × 78,702
  4. Step 4: Simplify right side
    52,634x = 6,194,004,804
  5. Step 5: Solve for x
    x = 6,194,004,804/52,634
  6. Step 6: Final answer
    x = 117,680.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.