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Finding the Third Proportional to 73,169 and 106,957

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Solution

The third proportional to 73,169 and 106,957 is: 156,347.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,169 : 106,957 = 106,957 : x
  2. Step 2: Convert to fraction form
    73,169/106,957 = 106,957/x
  3. Step 3: Cross multiply
    73,169x = 106,957 × 106,957
  4. Step 4: Simplify right side
    73,169x = 11,439,799,849
  5. Step 5: Solve for x
    x = 11,439,799,849/73,169
  6. Step 6: Final answer
    x = 156,347.63

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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.