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Finding the Third Proportional to 47,557.50 and 112,467

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Solution

The third proportional to 47,557.50 and 112,467 is: 265,969.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,557.50 : 112,467 = 112,467 : x
  2. Step 2: Convert to fraction form
    47,557.50/112,467 = 112,467/x
  3. Step 3: Cross multiply
    47,557.50x = 112,467 × 112,467
  4. Step 4: Simplify right side
    47,557.50x = 12,648,826,089
  5. Step 5: Solve for x
    x = 12,648,826,089/47,557.50
  6. Step 6: Final answer
    x = 265,969.11

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.