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Finding the Third Proportional to 127,080 and 186,678

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Solution

The third proportional to 127,080 and 186,678 is: 274,226.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,080 : 186,678 = 186,678 : x
  2. Step 2: Convert to fraction form
    127,080/186,678 = 186,678/x
  3. Step 3: Cross multiply
    127,080x = 186,678 × 186,678
  4. Step 4: Simplify right side
    127,080x = 34,848,675,684
  5. Step 5: Solve for x
    x = 34,848,675,684/127,080
  6. Step 6: Final answer
    x = 274,226.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.