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Finding the Third Proportional to 101,429 and 149,274

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Solution

The third proportional to 101,429 and 149,274 is: 219,687.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,429 : 149,274 = 149,274 : x
  2. Step 2: Convert to fraction form
    101,429/149,274 = 149,274/x
  3. Step 3: Cross multiply
    101,429x = 149,274 × 149,274
  4. Step 4: Simplify right side
    101,429x = 22,282,727,076
  5. Step 5: Solve for x
    x = 22,282,727,076/101,429
  6. Step 6: Final answer
    x = 219,687.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.