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Finding the Third Proportional to 105,057 and 157,212

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Solution

The third proportional to 105,057 and 157,212 is: 235,259.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,057 : 157,212 = 157,212 : x
  2. Step 2: Convert to fraction form
    105,057/157,212 = 157,212/x
  3. Step 3: Cross multiply
    105,057x = 157,212 × 157,212
  4. Step 4: Simplify right side
    105,057x = 24,715,612,944
  5. Step 5: Solve for x
    x = 24,715,612,944/105,057
  6. Step 6: Final answer
    x = 235,259.08

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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.