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Finding the Third Proportional to 47,359 and 102,097

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Solution

The third proportional to 47,359 and 102,097 is: 220,101.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,359 : 102,097 = 102,097 : x
  2. Step 2: Convert to fraction form
    47,359/102,097 = 102,097/x
  3. Step 3: Cross multiply
    47,359x = 102,097 × 102,097
  4. Step 4: Simplify right side
    47,359x = 10,423,797,409
  5. Step 5: Solve for x
    x = 10,423,797,409/47,359
  6. Step 6: Final answer
    x = 220,101.72

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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.