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Finding the Third Proportional to 96,960 and 142,247

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Solution

The third proportional to 96,960 and 142,247 is: 208,686.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,960 : 142,247 = 142,247 : x
  2. Step 2: Convert to fraction form
    96,960/142,247 = 142,247/x
  3. Step 3: Cross multiply
    96,960x = 142,247 × 142,247
  4. Step 4: Simplify right side
    96,960x = 20,234,209,009
  5. Step 5: Solve for x
    x = 20,234,209,009/96,960
  6. Step 6: Final answer
    x = 208,686.15

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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.