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Finding the Third Proportional to 52,522 and 78,595

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Solution

The third proportional to 52,522 and 78,595 is: 117,611.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,522 : 78,595 = 78,595 : x
  2. Step 2: Convert to fraction form
    52,522/78,595 = 78,595/x
  3. Step 3: Cross multiply
    52,522x = 78,595 × 78,595
  4. Step 4: Simplify right side
    52,522x = 6,177,174,025
  5. Step 5: Solve for x
    x = 6,177,174,025/52,522
  6. Step 6: Final answer
    x = 117,611.17

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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.