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Finding the Third Proportional to 61,956 and 98,456

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Solution

The third proportional to 61,956 and 98,456 is: 156,459.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,956 : 98,456 = 98,456 : x
  2. Step 2: Convert to fraction form
    61,956/98,456 = 98,456/x
  3. Step 3: Cross multiply
    61,956x = 98,456 × 98,456
  4. Step 4: Simplify right side
    61,956x = 9,693,583,936
  5. Step 5: Solve for x
    x = 9,693,583,936/61,956
  6. Step 6: Final answer
    x = 156,459.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.