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Finding the Third Proportional to 108,984 and 146,457

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Solution

The third proportional to 108,984 and 146,457 is: 196,814.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,984 : 146,457 = 146,457 : x
  2. Step 2: Convert to fraction form
    108,984/146,457 = 146,457/x
  3. Step 3: Cross multiply
    108,984x = 146,457 × 146,457
  4. Step 4: Simplify right side
    108,984x = 21,449,652,849
  5. Step 5: Solve for x
    x = 21,449,652,849/108,984
  6. Step 6: Final answer
    x = 196,814.70

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.