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Finding the Third Proportional to 101,432 and 149,276

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Solution

The third proportional to 101,432 and 149,276 is: 219,687.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,432 : 149,276 = 149,276 : x
  2. Step 2: Convert to fraction form
    101,432/149,276 = 149,276/x
  3. Step 3: Cross multiply
    101,432x = 149,276 × 149,276
  4. Step 4: Simplify right side
    101,432x = 22,283,324,176
  5. Step 5: Solve for x
    x = 22,283,324,176/101,432
  6. Step 6: Final answer
    x = 219,687.32

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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.