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Finding the Third Proportional to 85,071 and 173,598

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Solution

The third proportional to 85,071 and 173,598 is: 354,248.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,071 : 173,598 = 173,598 : x
  2. Step 2: Convert to fraction form
    85,071/173,598 = 173,598/x
  3. Step 3: Cross multiply
    85,071x = 173,598 × 173,598
  4. Step 4: Simplify right side
    85,071x = 30,136,265,604
  5. Step 5: Solve for x
    x = 30,136,265,604/85,071
  6. Step 6: Final answer
    x = 354,248.40

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.