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Finding the Third Proportional to 85,402.50 and 135,707

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Solution

The third proportional to 85,402.50 and 135,707 is: 215,642.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,402.50 : 135,707 = 135,707 : x
  2. Step 2: Convert to fraction form
    85,402.50/135,707 = 135,707/x
  3. Step 3: Cross multiply
    85,402.50x = 135,707 × 135,707
  4. Step 4: Simplify right side
    85,402.50x = 18,416,389,849
  5. Step 5: Solve for x
    x = 18,416,389,849/85,402.50
  6. Step 6: Final answer
    x = 215,642.28

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.