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Finding the Third Proportional to 102,372.75 and 157,933.13

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Solution

The third proportional to 102,372.75 and 157,933.13 is: 243,647.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,372.75 : 157,933.13 = 157,933.13 : x
  2. Step 2: Convert to fraction form
    102,372.75/157,933.13 = 157,933.13/x
  3. Step 3: Cross multiply
    102,372.75x = 157,933.13 × 157,933.13
  4. Step 4: Simplify right side
    102,372.75x = 24,942,871,972.27
  5. Step 5: Solve for x
    x = 24,942,871,972.27/102,372.75
  6. Step 6: Final answer
    x = 243,647.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.