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Finding the Third Proportional to 52,526 and 78,827

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Solution

The third proportional to 52,526 and 78,827 is: 118,297.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,526 : 78,827 = 78,827 : x
  2. Step 2: Convert to fraction form
    52,526/78,827 = 78,827/x
  3. Step 3: Cross multiply
    52,526x = 78,827 × 78,827
  4. Step 4: Simplify right side
    52,526x = 6,213,695,929
  5. Step 5: Solve for x
    x = 6,213,695,929/52,526
  6. Step 6: Final answer
    x = 118,297.53

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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.