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Finding the Third Proportional to 100,176 and 149,952

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Solution

The third proportional to 100,176 and 149,952 is: 224,460.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,176 : 149,952 = 149,952 : x
  2. Step 2: Convert to fraction form
    100,176/149,952 = 149,952/x
  3. Step 3: Cross multiply
    100,176x = 149,952 × 149,952
  4. Step 4: Simplify right side
    100,176x = 22,485,602,304
  5. Step 5: Solve for x
    x = 22,485,602,304/100,176
  6. Step 6: Final answer
    x = 224,460.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.