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Finding the Third Proportional to 47,017 and 103,335

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Solution

The third proportional to 47,017 and 103,335 is: 227,111.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,017 : 103,335 = 103,335 : x
  2. Step 2: Convert to fraction form
    47,017/103,335 = 103,335/x
  3. Step 3: Cross multiply
    47,017x = 103,335 × 103,335
  4. Step 4: Simplify right side
    47,017x = 10,678,122,225
  5. Step 5: Solve for x
    x = 10,678,122,225/47,017
  6. Step 6: Final answer
    x = 227,111.94

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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.