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Finding the Third Proportional to 97,469 and 118,247

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Solution

The third proportional to 97,469 and 118,247 is: 143,454.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,469 : 118,247 = 118,247 : x
  2. Step 2: Convert to fraction form
    97,469/118,247 = 118,247/x
  3. Step 3: Cross multiply
    97,469x = 118,247 × 118,247
  4. Step 4: Simplify right side
    97,469x = 13,982,353,009
  5. Step 5: Solve for x
    x = 13,982,353,009/97,469
  6. Step 6: Final answer
    x = 143,454.36

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.