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Finding the Third Proportional to 56,307 and 120,822

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Solution

The third proportional to 56,307 and 120,822 is: 259,256.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,307 : 120,822 = 120,822 : x
  2. Step 2: Convert to fraction form
    56,307/120,822 = 120,822/x
  3. Step 3: Cross multiply
    56,307x = 120,822 × 120,822
  4. Step 4: Simplify right side
    56,307x = 14,597,955,684
  5. Step 5: Solve for x
    x = 14,597,955,684/56,307
  6. Step 6: Final answer
    x = 259,256.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.