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Finding the Third Proportional to 59,228 and 127,938

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Solution

The third proportional to 59,228 and 127,938 is: 276,358.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,228 : 127,938 = 127,938 : x
  2. Step 2: Convert to fraction form
    59,228/127,938 = 127,938/x
  3. Step 3: Cross multiply
    59,228x = 127,938 × 127,938
  4. Step 4: Simplify right side
    59,228x = 16,368,131,844
  5. Step 5: Solve for x
    x = 16,368,131,844/59,228
  6. Step 6: Final answer
    x = 276,358.00

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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.