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Finding the Third Proportional to 47,248 and 72,498

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Solution

The third proportional to 47,248 and 72,498 is: 111,241.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,248 : 72,498 = 72,498 : x
  2. Step 2: Convert to fraction form
    47,248/72,498 = 72,498/x
  3. Step 3: Cross multiply
    47,248x = 72,498 × 72,498
  4. Step 4: Simplify right side
    47,248x = 5,255,960,004
  5. Step 5: Solve for x
    x = 5,255,960,004/47,248
  6. Step 6: Final answer
    x = 111,241.96

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