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Finding the Third Proportional to 59,178 and 127,100

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Solution

The third proportional to 59,178 and 127,100 is: 272,979.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,178 : 127,100 = 127,100 : x
  2. Step 2: Convert to fraction form
    59,178/127,100 = 127,100/x
  3. Step 3: Cross multiply
    59,178x = 127,100 × 127,100
  4. Step 4: Simplify right side
    59,178x = 16,154,410,000
  5. Step 5: Solve for x
    x = 16,154,410,000/59,178
  6. Step 6: Final answer
    x = 272,979.99

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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.