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Finding the Third Proportional to 65,653 and 98,457

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Solution

The third proportional to 65,653 and 98,457 is: 147,651.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,653 : 98,457 = 98,457 : x
  2. Step 2: Convert to fraction form
    65,653/98,457 = 98,457/x
  3. Step 3: Cross multiply
    65,653x = 98,457 × 98,457
  4. Step 4: Simplify right side
    65,653x = 9,693,780,849
  5. Step 5: Solve for x
    x = 9,693,780,849/65,653
  6. Step 6: Final answer
    x = 147,651.76

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Why These Related Problems?

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