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Finding the Third Proportional to 77,099.50 and 119,151

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Solution

The third proportional to 77,099.50 and 119,151 is: 184,138.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,099.50 : 119,151 = 119,151 : x
  2. Step 2: Convert to fraction form
    77,099.50/119,151 = 119,151/x
  3. Step 3: Cross multiply
    77,099.50x = 119,151 × 119,151
  4. Step 4: Simplify right side
    77,099.50x = 14,196,960,801
  5. Step 5: Solve for x
    x = 14,196,960,801/77,099.50
  6. Step 6: Final answer
    x = 184,138.17

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.