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Finding the Third Proportional to 65,456 and 98,920

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Solution

The third proportional to 65,456 and 98,920 is: 149,492.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,456 : 98,920 = 98,920 : x
  2. Step 2: Convert to fraction form
    65,456/98,920 = 98,920/x
  3. Step 3: Cross multiply
    65,456x = 98,920 × 98,920
  4. Step 4: Simplify right side
    65,456x = 9,785,166,400
  5. Step 5: Solve for x
    x = 9,785,166,400/65,456
  6. Step 6: Final answer
    x = 149,492.28

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