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Finding the Third Proportional to 116,647.88 and 180,128.25

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Solution

The third proportional to 116,647.88 and 180,128.25 is: 278,154.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,647.88 : 180,128.25 = 180,128.25 : x
  2. Step 2: Convert to fraction form
    116,647.88/180,128.25 = 180,128.25/x
  3. Step 3: Cross multiply
    116,647.88x = 180,128.25 × 180,128.25
  4. Step 4: Simplify right side
    116,647.88x = 32,446,186,448.06
  5. Step 5: Solve for x
    x = 32,446,186,448.06/116,647.88
  6. Step 6: Final answer
    x = 278,154.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.