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Finding the Third Proportional to 125,581 and 176,003

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Solution

The third proportional to 125,581 and 176,003 is: 246,669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,581 : 176,003 = 176,003 : x
  2. Step 2: Convert to fraction form
    125,581/176,003 = 176,003/x
  3. Step 3: Cross multiply
    125,581x = 176,003 × 176,003
  4. Step 4: Simplify right side
    125,581x = 30,977,056,009
  5. Step 5: Solve for x
    x = 30,977,056,009/125,581
  6. Step 6: Final answer
    x = 246,669.93

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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.