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Finding the Third Proportional to 105,059 and 157,696

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Solution

The third proportional to 105,059 and 157,696 is: 236,705.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,059 : 157,696 = 157,696 : x
  2. Step 2: Convert to fraction form
    105,059/157,696 = 157,696/x
  3. Step 3: Cross multiply
    105,059x = 157,696 × 157,696
  4. Step 4: Simplify right side
    105,059x = 24,868,028,416
  5. Step 5: Solve for x
    x = 24,868,028,416/105,059
  6. Step 6: Final answer
    x = 236,705.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.