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Finding the Third Proportional to 95,080 and 142,323

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Solution

The third proportional to 95,080 and 142,323 is: 213,039.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,080 : 142,323 = 142,323 : x
  2. Step 2: Convert to fraction form
    95,080/142,323 = 142,323/x
  3. Step 3: Cross multiply
    95,080x = 142,323 × 142,323
  4. Step 4: Simplify right side
    95,080x = 20,255,836,329
  5. Step 5: Solve for x
    x = 20,255,836,329/95,080
  6. Step 6: Final answer
    x = 213,039.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.