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Finding the Third Proportional to 85,635 and 180,501.75

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Solution

The third proportional to 85,635 and 180,501.75 is: 380,462.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,635 : 180,501.75 = 180,501.75 : x
  2. Step 2: Convert to fraction form
    85,635/180,501.75 = 180,501.75/x
  3. Step 3: Cross multiply
    85,635x = 180,501.75 × 180,501.75
  4. Step 4: Simplify right side
    85,635x = 32,580,881,753.06
  5. Step 5: Solve for x
    x = 32,580,881,753.06/85,635
  6. Step 6: Final answer
    x = 380,462.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.