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Finding the Third Proportional to 73,725.75 and 159,934.50

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Solution

The third proportional to 73,725.75 and 159,934.50 is: 346,948.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,725.75 : 159,934.50 = 159,934.50 : x
  2. Step 2: Convert to fraction form
    73,725.75/159,934.50 = 159,934.50/x
  3. Step 3: Cross multiply
    73,725.75x = 159,934.50 × 159,934.50
  4. Step 4: Simplify right side
    73,725.75x = 25,579,044,290.25
  5. Step 5: Solve for x
    x = 25,579,044,290.25/73,725.75
  6. Step 6: Final answer
    x = 346,948.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.