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Finding the Third Proportional to 116,566.88 and 171,024.75

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Solution

The third proportional to 116,566.88 and 171,024.75 is: 250,924.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,566.88 : 171,024.75 = 171,024.75 : x
  2. Step 2: Convert to fraction form
    116,566.88/171,024.75 = 171,024.75/x
  3. Step 3: Cross multiply
    116,566.88x = 171,024.75 × 171,024.75
  4. Step 4: Simplify right side
    116,566.88x = 29,249,465,112.56
  5. Step 5: Solve for x
    x = 29,249,465,112.56/116,566.88
  6. Step 6: Final answer
    x = 250,924.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.