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Finding the Third Proportional to 82,878.19 and 125,006.41

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Solution

The third proportional to 82,878.19 and 125,006.41 is: 188,549.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,878.19 : 125,006.41 = 125,006.41 : x
  2. Step 2: Convert to fraction form
    82,878.19/125,006.41 = 125,006.41/x
  3. Step 3: Cross multiply
    82,878.19x = 125,006.41 × 125,006.41
  4. Step 4: Simplify right side
    82,878.19x = 15,626,603,556.77
  5. Step 5: Solve for x
    x = 15,626,603,556.77/82,878.19
  6. Step 6: Final answer
    x = 188,549.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.