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Finding the Third Proportional to 101,747 and 149,576

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Solution

The third proportional to 101,747 and 149,576 is: 219,888.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,747 : 149,576 = 149,576 : x
  2. Step 2: Convert to fraction form
    101,747/149,576 = 149,576/x
  3. Step 3: Cross multiply
    101,747x = 149,576 × 149,576
  4. Step 4: Simplify right side
    101,747x = 22,372,979,776
  5. Step 5: Solve for x
    x = 22,372,979,776/101,747
  6. Step 6: Final answer
    x = 219,888.35

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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.