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Finding the Third Proportional to 101,007 and 149,535

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Solution

The third proportional to 101,007 and 149,535 is: 221,377.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,007 : 149,535 = 149,535 : x
  2. Step 2: Convert to fraction form
    101,007/149,535 = 149,535/x
  3. Step 3: Cross multiply
    101,007x = 149,535 × 149,535
  4. Step 4: Simplify right side
    101,007x = 22,360,716,225
  5. Step 5: Solve for x
    x = 22,360,716,225/101,007
  6. Step 6: Final answer
    x = 221,377.89

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.