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Finding the Third Proportional to 113,830.31 and 175,878.84

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Solution

The third proportional to 113,830.31 and 175,878.84 is: 271,749.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,830.31 : 175,878.84 = 175,878.84 : x
  2. Step 2: Convert to fraction form
    113,830.31/175,878.84 = 175,878.84/x
  3. Step 3: Cross multiply
    113,830.31x = 175,878.84 × 175,878.84
  4. Step 4: Simplify right side
    113,830.31x = 30,933,367,678.84
  5. Step 5: Solve for x
    x = 30,933,367,678.84/113,830.31
  6. Step 6: Final answer
    x = 271,749.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.