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Finding the Third Proportional to 62,269 and 98,444

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Solution

The third proportional to 62,269 and 98,444 is: 155,634.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,269 : 98,444 = 98,444 : x
  2. Step 2: Convert to fraction form
    62,269/98,444 = 98,444/x
  3. Step 3: Cross multiply
    62,269x = 98,444 × 98,444
  4. Step 4: Simplify right side
    62,269x = 9,691,221,136
  5. Step 5: Solve for x
    x = 9,691,221,136/62,269
  6. Step 6: Final answer
    x = 155,634.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.