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Finding the Third Proportional to 85,581 and 125,202

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Solution

The third proportional to 85,581 and 125,202 is: 183,166.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,581 : 125,202 = 125,202 : x
  2. Step 2: Convert to fraction form
    85,581/125,202 = 125,202/x
  3. Step 3: Cross multiply
    85,581x = 125,202 × 125,202
  4. Step 4: Simplify right side
    85,581x = 15,675,540,804
  5. Step 5: Solve for x
    x = 15,675,540,804/85,581
  6. Step 6: Final answer
    x = 183,166.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.