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Finding the Third Proportional to 114,454.50 and 175,083.75

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Solution

The third proportional to 114,454.50 and 175,083.75 is: 267,829.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,454.50 : 175,083.75 = 175,083.75 : x
  2. Step 2: Convert to fraction form
    114,454.50/175,083.75 = 175,083.75/x
  3. Step 3: Cross multiply
    114,454.50x = 175,083.75 × 175,083.75
  4. Step 4: Simplify right side
    114,454.50x = 30,654,319,514.06
  5. Step 5: Solve for x
    x = 30,654,319,514.06/114,454.50
  6. Step 6: Final answer
    x = 267,829.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.