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Finding the Third Proportional to 69,402 and 105,957

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Solution

The third proportional to 69,402 and 105,957 is: 161,766.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,402 : 105,957 = 105,957 : x
  2. Step 2: Convert to fraction form
    69,402/105,957 = 105,957/x
  3. Step 3: Cross multiply
    69,402x = 105,957 × 105,957
  4. Step 4: Simplify right side
    69,402x = 11,226,885,849
  5. Step 5: Solve for x
    x = 11,226,885,849/69,402
  6. Step 6: Final answer
    x = 161,766.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.