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Finding the Third Proportional to 50,726 and 79,572

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Solution

The third proportional to 50,726 and 79,572 is: 124,821.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,726 : 79,572 = 79,572 : x
  2. Step 2: Convert to fraction form
    50,726/79,572 = 79,572/x
  3. Step 3: Cross multiply
    50,726x = 79,572 × 79,572
  4. Step 4: Simplify right side
    50,726x = 6,331,703,184
  5. Step 5: Solve for x
    x = 6,331,703,184/50,726
  6. Step 6: Final answer
    x = 124,821.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.