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Finding the Third Proportional to 116,127.75 and 179,477.25

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Solution

The third proportional to 116,127.75 and 179,477.25 is: 277,384.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,127.75 : 179,477.25 = 179,477.25 : x
  2. Step 2: Convert to fraction form
    116,127.75/179,477.25 = 179,477.25/x
  3. Step 3: Cross multiply
    116,127.75x = 179,477.25 × 179,477.25
  4. Step 4: Simplify right side
    116,127.75x = 32,212,083,267.56
  5. Step 5: Solve for x
    x = 32,212,083,267.56/116,127.75
  6. Step 6: Final answer
    x = 277,384.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.