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Finding the Third Proportional to 84,582 and 125,901

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Solution

The third proportional to 84,582 and 125,901 is: 187,404.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,582 : 125,901 = 125,901 : x
  2. Step 2: Convert to fraction form
    84,582/125,901 = 125,901/x
  3. Step 3: Cross multiply
    84,582x = 125,901 × 125,901
  4. Step 4: Simplify right side
    84,582x = 15,851,061,801
  5. Step 5: Solve for x
    x = 15,851,061,801/84,582
  6. Step 6: Final answer
    x = 187,404.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.