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Finding the Third Proportional to 96,930 and 142,195

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Solution

The third proportional to 96,930 and 142,195 is: 208,598.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,930 : 142,195 = 142,195 : x
  2. Step 2: Convert to fraction form
    96,930/142,195 = 142,195/x
  3. Step 3: Cross multiply
    96,930x = 142,195 × 142,195
  4. Step 4: Simplify right side
    96,930x = 20,219,418,025
  5. Step 5: Solve for x
    x = 20,219,418,025/96,930
  6. Step 6: Final answer
    x = 208,598.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.