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Finding the Third Proportional to 62,270 and 98,447

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Solution

The third proportional to 62,270 and 98,447 is: 155,641.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,270 : 98,447 = 98,447 : x
  2. Step 2: Convert to fraction form
    62,270/98,447 = 98,447/x
  3. Step 3: Cross multiply
    62,270x = 98,447 × 98,447
  4. Step 4: Simplify right side
    62,270x = 9,691,811,809
  5. Step 5: Solve for x
    x = 9,691,811,809/62,270
  6. Step 6: Final answer
    x = 155,641.75

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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.