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Finding the Third Proportional to 98,287 and 148,242

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Solution

The third proportional to 98,287 and 148,242 is: 223,586.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,287 : 148,242 = 148,242 : x
  2. Step 2: Convert to fraction form
    98,287/148,242 = 148,242/x
  3. Step 3: Cross multiply
    98,287x = 148,242 × 148,242
  4. Step 4: Simplify right side
    98,287x = 21,975,690,564
  5. Step 5: Solve for x
    x = 21,975,690,564/98,287
  6. Step 6: Final answer
    x = 223,586.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.