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Finding the Third Proportional to 105,108.75 and 157,285.13

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Solution

The third proportional to 105,108.75 and 157,285.13 is: 235,362.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,108.75 : 157,285.13 = 157,285.13 : x
  2. Step 2: Convert to fraction form
    105,108.75/157,285.13 = 157,285.13/x
  3. Step 3: Cross multiply
    105,108.75x = 157,285.13 × 157,285.13
  4. Step 4: Simplify right side
    105,108.75x = 24,738,610,546.27
  5. Step 5: Solve for x
    x = 24,738,610,546.27/105,108.75
  6. Step 6: Final answer
    x = 235,362.05

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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.