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Finding the Third Proportional to 65,736 and 98,490

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Solution

The third proportional to 65,736 and 98,490 is: 147,564.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,736 : 98,490 = 98,490 : x
  2. Step 2: Convert to fraction form
    65,736/98,490 = 98,490/x
  3. Step 3: Cross multiply
    65,736x = 98,490 × 98,490
  4. Step 4: Simplify right side
    65,736x = 9,700,280,100
  5. Step 5: Solve for x
    x = 9,700,280,100/65,736
  6. Step 6: Final answer
    x = 147,564.20

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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.