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Finding the Third Proportional to 116,563.50 and 172,383.75

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Solution

The third proportional to 116,563.50 and 172,383.75 is: 254,935.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,563.50 : 172,383.75 = 172,383.75 : x
  2. Step 2: Convert to fraction form
    116,563.50/172,383.75 = 172,383.75/x
  3. Step 3: Cross multiply
    116,563.50x = 172,383.75 × 172,383.75
  4. Step 4: Simplify right side
    116,563.50x = 29,716,157,264.06
  5. Step 5: Solve for x
    x = 29,716,157,264.06/116,563.50
  6. Step 6: Final answer
    x = 254,935.36

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.