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Finding the Third Proportional to 125,938 and 174,551

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Solution

The third proportional to 125,938 and 174,551 is: 241,928.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,938 : 174,551 = 174,551 : x
  2. Step 2: Convert to fraction form
    125,938/174,551 = 174,551/x
  3. Step 3: Cross multiply
    125,938x = 174,551 × 174,551
  4. Step 4: Simplify right side
    125,938x = 30,468,051,601
  5. Step 5: Solve for x
    x = 30,468,051,601/125,938
  6. Step 6: Final answer
    x = 241,928.98

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.