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Finding the Third Proportional to 85,842 and 114,615

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Solution

The third proportional to 85,842 and 114,615 is: 153,032.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,842 : 114,615 = 114,615 : x
  2. Step 2: Convert to fraction form
    85,842/114,615 = 114,615/x
  3. Step 3: Cross multiply
    85,842x = 114,615 × 114,615
  4. Step 4: Simplify right side
    85,842x = 13,136,598,225
  5. Step 5: Solve for x
    x = 13,136,598,225/85,842
  6. Step 6: Final answer
    x = 153,032.29

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.