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Finding the Third Proportional to 52,153 and 78,479

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Solution

The third proportional to 52,153 and 78,479 is: 118,093.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,153 : 78,479 = 78,479 : x
  2. Step 2: Convert to fraction form
    52,153/78,479 = 78,479/x
  3. Step 3: Cross multiply
    52,153x = 78,479 × 78,479
  4. Step 4: Simplify right side
    52,153x = 6,158,953,441
  5. Step 5: Solve for x
    x = 6,158,953,441/52,153
  6. Step 6: Final answer
    x = 118,093.94

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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.