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Finding the Third Proportional to 116,128.75 and 169,712.25

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Solution

The third proportional to 116,128.75 and 169,712.25 is: 248,019.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,128.75 : 169,712.25 = 169,712.25 : x
  2. Step 2: Convert to fraction form
    116,128.75/169,712.25 = 169,712.25/x
  3. Step 3: Cross multiply
    116,128.75x = 169,712.25 × 169,712.25
  4. Step 4: Simplify right side
    116,128.75x = 28,802,247,800.06
  5. Step 5: Solve for x
    x = 28,802,247,800.06/116,128.75
  6. Step 6: Final answer
    x = 248,019.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.