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Finding the Third Proportional to 125,730 and 255,105

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Solution

The third proportional to 125,730 and 255,105 is: 517,605.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,730 : 255,105 = 255,105 : x
  2. Step 2: Convert to fraction form
    125,730/255,105 = 255,105/x
  3. Step 3: Cross multiply
    125,730x = 255,105 × 255,105
  4. Step 4: Simplify right side
    125,730x = 65,078,561,025
  5. Step 5: Solve for x
    x = 65,078,561,025/125,730
  6. Step 6: Final answer
    x = 517,605.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.