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Finding the Third Proportional to 125,439 and 178,815

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Solution

The third proportional to 125,439 and 178,815 is: 254,903.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,439 : 178,815 = 178,815 : x
  2. Step 2: Convert to fraction form
    125,439/178,815 = 178,815/x
  3. Step 3: Cross multiply
    125,439x = 178,815 × 178,815
  4. Step 4: Simplify right side
    125,439x = 31,974,804,225
  5. Step 5: Solve for x
    x = 31,974,804,225/125,439
  6. Step 6: Final answer
    x = 254,903.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.