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Finding the Third Proportional to 52,167 and 78,495

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Solution

The third proportional to 52,167 and 78,495 is: 118,110.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,167 : 78,495 = 78,495 : x
  2. Step 2: Convert to fraction form
    52,167/78,495 = 78,495/x
  3. Step 3: Cross multiply
    52,167x = 78,495 × 78,495
  4. Step 4: Simplify right side
    52,167x = 6,161,465,025
  5. Step 5: Solve for x
    x = 6,161,465,025/52,167
  6. Step 6: Final answer
    x = 118,110.40

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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.