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Finding the Third Proportional to 78,884 and 119,265

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Solution

The third proportional to 78,884 and 119,265 is: 180,317.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,884 : 119,265 = 119,265 : x
  2. Step 2: Convert to fraction form
    78,884/119,265 = 119,265/x
  3. Step 3: Cross multiply
    78,884x = 119,265 × 119,265
  4. Step 4: Simplify right side
    78,884x = 14,224,140,225
  5. Step 5: Solve for x
    x = 14,224,140,225/78,884
  6. Step 6: Final answer
    x = 180,317.18

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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.