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Finding the Third Proportional to 85,072 and 125,259

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Solution

The third proportional to 85,072 and 125,259 is: 184,429.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,072 : 125,259 = 125,259 : x
  2. Step 2: Convert to fraction form
    85,072/125,259 = 125,259/x
  3. Step 3: Cross multiply
    85,072x = 125,259 × 125,259
  4. Step 4: Simplify right side
    85,072x = 15,689,817,081
  5. Step 5: Solve for x
    x = 15,689,817,081/85,072
  6. Step 6: Final answer
    x = 184,429.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.