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Finding the Third Proportional to 125,583 and 176,006

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Solution

The third proportional to 125,583 and 176,006 is: 246,674.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,583 : 176,006 = 176,006 : x
  2. Step 2: Convert to fraction form
    125,583/176,006 = 176,006/x
  3. Step 3: Cross multiply
    125,583x = 176,006 × 176,006
  4. Step 4: Simplify right side
    125,583x = 30,978,112,036
  5. Step 5: Solve for x
    x = 30,978,112,036/125,583
  6. Step 6: Final answer
    x = 246,674.41

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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.