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Finding the Third Proportional to 78,833 and 119,069

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Solution

The third proportional to 78,833 and 119,069 is: 179,841.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,833 : 119,069 = 119,069 : x
  2. Step 2: Convert to fraction form
    78,833/119,069 = 119,069/x
  3. Step 3: Cross multiply
    78,833x = 119,069 × 119,069
  4. Step 4: Simplify right side
    78,833x = 14,177,426,761
  5. Step 5: Solve for x
    x = 14,177,426,761/78,833
  6. Step 6: Final answer
    x = 179,841.27

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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.