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Finding the Third Proportional to 46,912 and 101,654

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Solution

The third proportional to 46,912 and 101,654 is: 220,274.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,912 : 101,654 = 101,654 : x
  2. Step 2: Convert to fraction form
    46,912/101,654 = 101,654/x
  3. Step 3: Cross multiply
    46,912x = 101,654 × 101,654
  4. Step 4: Simplify right side
    46,912x = 10,333,535,716
  5. Step 5: Solve for x
    x = 10,333,535,716/46,912
  6. Step 6: Final answer
    x = 220,274.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.