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Finding the Third Proportional to 89,433 and 125,337

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Solution

The third proportional to 89,433 and 125,337 is: 175,655.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,433 : 125,337 = 125,337 : x
  2. Step 2: Convert to fraction form
    89,433/125,337 = 125,337/x
  3. Step 3: Cross multiply
    89,433x = 125,337 × 125,337
  4. Step 4: Simplify right side
    89,433x = 15,709,363,569
  5. Step 5: Solve for x
    x = 15,709,363,569/89,433
  6. Step 6: Final answer
    x = 175,655.11

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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.