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Finding the Third Proportional to 65,900 and 143,730

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Solution

The third proportional to 65,900 and 143,730 is: 313,479.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,900 : 143,730 = 143,730 : x
  2. Step 2: Convert to fraction form
    65,900/143,730 = 143,730/x
  3. Step 3: Cross multiply
    65,900x = 143,730 × 143,730
  4. Step 4: Simplify right side
    65,900x = 20,658,312,900
  5. Step 5: Solve for x
    x = 20,658,312,900/65,900
  6. Step 6: Final answer
    x = 313,479.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.