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Finding the Third Proportional to 75,426.75 and 157,110.56

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Solution

The third proportional to 75,426.75 and 157,110.56 is: 327,254.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,426.75 : 157,110.56 = 157,110.56 : x
  2. Step 2: Convert to fraction form
    75,426.75/157,110.56 = 157,110.56/x
  3. Step 3: Cross multiply
    75,426.75x = 157,110.56 × 157,110.56
  4. Step 4: Simplify right side
    75,426.75x = 24,683,728,849.07
  5. Step 5: Solve for x
    x = 24,683,728,849.07/75,426.75
  6. Step 6: Final answer
    x = 327,254.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.