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Finding the Third Proportional to 89,509 and 125,475

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Solution

The third proportional to 89,509 and 125,475 is: 175,892.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,509 : 125,475 = 125,475 : x
  2. Step 2: Convert to fraction form
    89,509/125,475 = 125,475/x
  3. Step 3: Cross multiply
    89,509x = 125,475 × 125,475
  4. Step 4: Simplify right side
    89,509x = 15,743,975,625
  5. Step 5: Solve for x
    x = 15,743,975,625/89,509
  6. Step 6: Final answer
    x = 175,892.65

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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.