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Finding the Third Proportional to 50,523 and 79,261.50

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Solution

The third proportional to 50,523 and 79,261.50 is: 124,347.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,523 : 79,261.50 = 79,261.50 : x
  2. Step 2: Convert to fraction form
    50,523/79,261.50 = 79,261.50/x
  3. Step 3: Cross multiply
    50,523x = 79,261.50 × 79,261.50
  4. Step 4: Simplify right side
    50,523x = 6,282,385,382.25
  5. Step 5: Solve for x
    x = 6,282,385,382.25/50,523
  6. Step 6: Final answer
    x = 124,347.04

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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.