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Finding the Third Proportional to 52,014 and 78,481

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Solution

The third proportional to 52,014 and 78,481 is: 118,415.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,014 : 78,481 = 78,481 : x
  2. Step 2: Convert to fraction form
    52,014/78,481 = 78,481/x
  3. Step 3: Cross multiply
    52,014x = 78,481 × 78,481
  4. Step 4: Simplify right side
    52,014x = 6,159,267,361
  5. Step 5: Solve for x
    x = 6,159,267,361/52,014
  6. Step 6: Final answer
    x = 118,415.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.