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Finding the Third Proportional to 52,629 and 80,890.50

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Solution

The third proportional to 52,629 and 80,890.50 is: 124,328.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,629 : 80,890.50 = 80,890.50 : x
  2. Step 2: Convert to fraction form
    52,629/80,890.50 = 80,890.50/x
  3. Step 3: Cross multiply
    52,629x = 80,890.50 × 80,890.50
  4. Step 4: Simplify right side
    52,629x = 6,543,272,990.25
  5. Step 5: Solve for x
    x = 6,543,272,990.25/52,629
  6. Step 6: Final answer
    x = 124,328.28

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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.