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Finding the Third Proportional to 116,710 and 165,155

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Solution

The third proportional to 116,710 and 165,155 is: 233,708.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,710 : 165,155 = 165,155 : x
  2. Step 2: Convert to fraction form
    116,710/165,155 = 165,155/x
  3. Step 3: Cross multiply
    116,710x = 165,155 × 165,155
  4. Step 4: Simplify right side
    116,710x = 27,276,174,025
  5. Step 5: Solve for x
    x = 27,276,174,025/116,710
  6. Step 6: Final answer
    x = 233,708.97

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.