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Finding the Third Proportional to 103,885.03 and 169,616.53

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Solution

The third proportional to 103,885.03 and 169,616.53 is: 276,938.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,885.03 : 169,616.53 = 169,616.53 : x
  2. Step 2: Convert to fraction form
    103,885.03/169,616.53 = 169,616.53/x
  3. Step 3: Cross multiply
    103,885.03x = 169,616.53 × 169,616.53
  4. Step 4: Simplify right side
    103,885.03x = 28,769,767,673.28
  5. Step 5: Solve for x
    x = 28,769,767,673.28/103,885.03
  6. Step 6: Final answer
    x = 276,938.53

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.