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Finding the Third Proportional to 52,156 and 78,477

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Solution

The third proportional to 52,156 and 78,477 is: 118,081.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,156 : 78,477 = 78,477 : x
  2. Step 2: Convert to fraction form
    52,156/78,477 = 78,477/x
  3. Step 3: Cross multiply
    52,156x = 78,477 × 78,477
  4. Step 4: Simplify right side
    52,156x = 6,158,639,529
  5. Step 5: Solve for x
    x = 6,158,639,529/52,156
  6. Step 6: Final answer
    x = 118,081.13

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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.