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Finding the Third Proportional to 51,556 and 75,822

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Solution

The third proportional to 51,556 and 75,822 is: 111,509.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,556 : 75,822 = 75,822 : x
  2. Step 2: Convert to fraction form
    51,556/75,822 = 75,822/x
  3. Step 3: Cross multiply
    51,556x = 75,822 × 75,822
  4. Step 4: Simplify right side
    51,556x = 5,748,975,684
  5. Step 5: Solve for x
    x = 5,748,975,684/51,556
  6. Step 6: Final answer
    x = 111,509.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.