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Finding the Third Proportional to 47,740 and 112,294

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Solution

The third proportional to 47,740 and 112,294 is: 264,137.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,740 : 112,294 = 112,294 : x
  2. Step 2: Convert to fraction form
    47,740/112,294 = 112,294/x
  3. Step 3: Cross multiply
    47,740x = 112,294 × 112,294
  4. Step 4: Simplify right side
    47,740x = 12,609,942,436
  5. Step 5: Solve for x
    x = 12,609,942,436/47,740
  6. Step 6: Final answer
    x = 264,137.88

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.