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Finding the Third Proportional to 59,172 and 127,822

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Solution

The third proportional to 59,172 and 127,822 is: 276,118.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,172 : 127,822 = 127,822 : x
  2. Step 2: Convert to fraction form
    59,172/127,822 = 127,822/x
  3. Step 3: Cross multiply
    59,172x = 127,822 × 127,822
  4. Step 4: Simplify right side
    59,172x = 16,338,463,684
  5. Step 5: Solve for x
    x = 16,338,463,684/59,172
  6. Step 6: Final answer
    x = 276,118.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.