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Finding the Third Proportional to 62,972 and 98,288

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Solution

The third proportional to 62,972 and 98,288 is: 153,409.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,972 : 98,288 = 98,288 : x
  2. Step 2: Convert to fraction form
    62,972/98,288 = 98,288/x
  3. Step 3: Cross multiply
    62,972x = 98,288 × 98,288
  4. Step 4: Simplify right side
    62,972x = 9,660,530,944
  5. Step 5: Solve for x
    x = 9,660,530,944/62,972
  6. Step 6: Final answer
    x = 153,409.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.