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Finding the Third Proportional to 59,344 and 127,112

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Solution

The third proportional to 59,344 and 127,112 is: 272,267.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,344 : 127,112 = 127,112 : x
  2. Step 2: Convert to fraction form
    59,344/127,112 = 127,112/x
  3. Step 3: Cross multiply
    59,344x = 127,112 × 127,112
  4. Step 4: Simplify right side
    59,344x = 16,157,460,544
  5. Step 5: Solve for x
    x = 16,157,460,544/59,344
  6. Step 6: Final answer
    x = 272,267.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.