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Finding the Third Proportional to 47,066 and 103,492

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Solution

The third proportional to 47,066 and 103,492 is: 227,565.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,066 : 103,492 = 103,492 : x
  2. Step 2: Convert to fraction form
    47,066/103,492 = 103,492/x
  3. Step 3: Cross multiply
    47,066x = 103,492 × 103,492
  4. Step 4: Simplify right side
    47,066x = 10,710,594,064
  5. Step 5: Solve for x
    x = 10,710,594,064/47,066
  6. Step 6: Final answer
    x = 227,565.42

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.