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Finding the Third Proportional to 50,535 and 79,038

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Solution

The third proportional to 50,535 and 79,038 is: 123,617.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,535 : 79,038 = 79,038 : x
  2. Step 2: Convert to fraction form
    50,535/79,038 = 79,038/x
  3. Step 3: Cross multiply
    50,535x = 79,038 × 79,038
  4. Step 4: Simplify right side
    50,535x = 6,247,005,444
  5. Step 5: Solve for x
    x = 6,247,005,444/50,535
  6. Step 6: Final answer
    x = 123,617.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.