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Finding the Third Proportional to 52,173 and 78,499

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Solution

The third proportional to 52,173 and 78,499 is: 118,108.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,173 : 78,499 = 78,499 : x
  2. Step 2: Convert to fraction form
    52,173/78,499 = 78,499/x
  3. Step 3: Cross multiply
    52,173x = 78,499 × 78,499
  4. Step 4: Simplify right side
    52,173x = 6,162,093,001
  5. Step 5: Solve for x
    x = 6,162,093,001/52,173
  6. Step 6: Final answer
    x = 118,108.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.