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Finding the Third Proportional to 116,564.63 and 177,126.75

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Solution

The third proportional to 116,564.63 and 177,126.75 is: 269,154.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,564.63 : 177,126.75 = 177,126.75 : x
  2. Step 2: Convert to fraction form
    116,564.63/177,126.75 = 177,126.75/x
  3. Step 3: Cross multiply
    116,564.63x = 177,126.75 × 177,126.75
  4. Step 4: Simplify right side
    116,564.63x = 31,373,885,565.56
  5. Step 5: Solve for x
    x = 31,373,885,565.56/116,564.63
  6. Step 6: Final answer
    x = 269,154.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.