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Finding the Third Proportional to 47,352 and 102,085

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Solution

The third proportional to 47,352 and 102,085 is: 220,082.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,352 : 102,085 = 102,085 : x
  2. Step 2: Convert to fraction form
    47,352/102,085 = 102,085/x
  3. Step 3: Cross multiply
    47,352x = 102,085 × 102,085
  4. Step 4: Simplify right side
    47,352x = 10,421,347,225
  5. Step 5: Solve for x
    x = 10,421,347,225/47,352
  6. Step 6: Final answer
    x = 220,082.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.