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Finding the Third Proportional to 85,072 and 125,258

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Solution

The third proportional to 85,072 and 125,258 is: 184,426.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,072 : 125,258 = 125,258 : x
  2. Step 2: Convert to fraction form
    85,072/125,258 = 125,258/x
  3. Step 3: Cross multiply
    85,072x = 125,258 × 125,258
  4. Step 4: Simplify right side
    85,072x = 15,689,566,564
  5. Step 5: Solve for x
    x = 15,689,566,564/85,072
  6. Step 6: Final answer
    x = 184,426.92

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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.