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Finding the Third Proportional to 125,529 and 175,576

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Solution

The third proportional to 125,529 and 175,576 is: 245,576.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,529 : 175,576 = 175,576 : x
  2. Step 2: Convert to fraction form
    125,529/175,576 = 175,576/x
  3. Step 3: Cross multiply
    125,529x = 175,576 × 175,576
  4. Step 4: Simplify right side
    125,529x = 30,826,931,776
  5. Step 5: Solve for x
    x = 30,826,931,776/125,529
  6. Step 6: Final answer
    x = 245,576.18

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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.