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Finding the Third Proportional to 78,830 and 119,063

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Solution

The third proportional to 78,830 and 119,063 is: 179,829.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,830 : 119,063 = 119,063 : x
  2. Step 2: Convert to fraction form
    78,830/119,063 = 119,063/x
  3. Step 3: Cross multiply
    78,830x = 119,063 × 119,063
  4. Step 4: Simplify right side
    78,830x = 14,175,997,969
  5. Step 5: Solve for x
    x = 14,175,997,969/78,830
  6. Step 6: Final answer
    x = 179,829.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.