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Finding the Third Proportional to 89,461 and 125,391

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Solution

The third proportional to 89,461 and 125,391 is: 175,751.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,461 : 125,391 = 125,391 : x
  2. Step 2: Convert to fraction form
    89,461/125,391 = 125,391/x
  3. Step 3: Cross multiply
    89,461x = 125,391 × 125,391
  4. Step 4: Simplify right side
    89,461x = 15,722,902,881
  5. Step 5: Solve for x
    x = 15,722,902,881/89,461
  6. Step 6: Final answer
    x = 175,751.48

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.