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Finding the Third Proportional to 101,736 and 148,716

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Solution

The third proportional to 101,736 and 148,716 is: 217,390.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,736 : 148,716 = 148,716 : x
  2. Step 2: Convert to fraction form
    101,736/148,716 = 148,716/x
  3. Step 3: Cross multiply
    101,736x = 148,716 × 148,716
  4. Step 4: Simplify right side
    101,736x = 22,116,448,656
  5. Step 5: Solve for x
    x = 22,116,448,656/101,736
  6. Step 6: Final answer
    x = 217,390.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.