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Finding the Third Proportional to 108,972 and 169,916

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Solution

The third proportional to 108,972 and 169,916 is: 264,943.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,972 : 169,916 = 169,916 : x
  2. Step 2: Convert to fraction form
    108,972/169,916 = 169,916/x
  3. Step 3: Cross multiply
    108,972x = 169,916 × 169,916
  4. Step 4: Simplify right side
    108,972x = 28,871,447,056
  5. Step 5: Solve for x
    x = 28,871,447,056/108,972
  6. Step 6: Final answer
    x = 264,943.72

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.