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Finding the Third Proportional to 46,429 and 101,241

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Solution

The third proportional to 46,429 and 101,241 is: 220,761.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,429 : 101,241 = 101,241 : x
  2. Step 2: Convert to fraction form
    46,429/101,241 = 101,241/x
  3. Step 3: Cross multiply
    46,429x = 101,241 × 101,241
  4. Step 4: Simplify right side
    46,429x = 10,249,740,081
  5. Step 5: Solve for x
    x = 10,249,740,081/46,429
  6. Step 6: Final answer
    x = 220,761.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.