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Finding the Third Proportional to 85,581 and 127,899

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Solution

The third proportional to 85,581 and 127,899 is: 191,142.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,581 : 127,899 = 127,899 : x
  2. Step 2: Convert to fraction form
    85,581/127,899 = 127,899/x
  3. Step 3: Cross multiply
    85,581x = 127,899 × 127,899
  4. Step 4: Simplify right side
    85,581x = 16,358,154,201
  5. Step 5: Solve for x
    x = 16,358,154,201/85,581
  6. Step 6: Final answer
    x = 191,142.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.