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Finding the Third Proportional to 105,059 and 157,217

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Solution

The third proportional to 105,059 and 157,217 is: 235,269.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,059 : 157,217 = 157,217 : x
  2. Step 2: Convert to fraction form
    105,059/157,217 = 157,217/x
  3. Step 3: Cross multiply
    105,059x = 157,217 × 157,217
  4. Step 4: Simplify right side
    105,059x = 24,717,185,089
  5. Step 5: Solve for x
    x = 24,717,185,089/105,059
  6. Step 6: Final answer
    x = 235,269.56

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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.