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Finding the Third Proportional to 106,258 and 156,957

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Solution

The third proportional to 106,258 and 156,957 is: 231,846.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,258 : 156,957 = 156,957 : x
  2. Step 2: Convert to fraction form
    106,258/156,957 = 156,957/x
  3. Step 3: Cross multiply
    106,258x = 156,957 × 156,957
  4. Step 4: Simplify right side
    106,258x = 24,635,499,849
  5. Step 5: Solve for x
    x = 24,635,499,849/106,258
  6. Step 6: Final answer
    x = 231,846.07

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.