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Finding the Third Proportional to 65,640 and 98,520

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Solution

The third proportional to 65,640 and 98,520 is: 147,870.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,640 : 98,520 = 98,520 : x
  2. Step 2: Convert to fraction form
    65,640/98,520 = 98,520/x
  3. Step 3: Cross multiply
    65,640x = 98,520 × 98,520
  4. Step 4: Simplify right side
    65,640x = 9,706,190,400
  5. Step 5: Solve for x
    x = 9,706,190,400/65,640
  6. Step 6: Final answer
    x = 147,870.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.