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Finding the Third Proportional to 56,260 and 84,822

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Solution

The third proportional to 56,260 and 84,822 is: 127,884.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,260 : 84,822 = 84,822 : x
  2. Step 2: Convert to fraction form
    56,260/84,822 = 84,822/x
  3. Step 3: Cross multiply
    56,260x = 84,822 × 84,822
  4. Step 4: Simplify right side
    56,260x = 7,194,771,684
  5. Step 5: Solve for x
    x = 7,194,771,684/56,260
  6. Step 6: Final answer
    x = 127,884.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.