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Finding the Third Proportional to 127,104 and 186,762

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Solution

The third proportional to 127,104 and 186,762 is: 274,421.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,104 : 186,762 = 186,762 : x
  2. Step 2: Convert to fraction form
    127,104/186,762 = 186,762/x
  3. Step 3: Cross multiply
    127,104x = 186,762 × 186,762
  4. Step 4: Simplify right side
    127,104x = 34,880,044,644
  5. Step 5: Solve for x
    x = 34,880,044,644/127,104
  6. Step 6: Final answer
    x = 274,421.30

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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.