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Finding the Third Proportional to 46,424 and 101,254

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Solution

The third proportional to 46,424 and 101,254 is: 220,842.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,424 : 101,254 = 101,254 : x
  2. Step 2: Convert to fraction form
    46,424/101,254 = 101,254/x
  3. Step 3: Cross multiply
    46,424x = 101,254 × 101,254
  4. Step 4: Simplify right side
    46,424x = 10,252,372,516
  5. Step 5: Solve for x
    x = 10,252,372,516/46,424
  6. Step 6: Final answer
    x = 220,842.08

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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.