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Finding the Third Proportional to 76,302.75 and 116,722.13

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Solution

The third proportional to 76,302.75 and 116,722.13 is: 178,552.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,302.75 : 116,722.13 = 116,722.13 : x
  2. Step 2: Convert to fraction form
    76,302.75/116,722.13 = 116,722.13/x
  3. Step 3: Cross multiply
    76,302.75x = 116,722.13 × 116,722.13
  4. Step 4: Simplify right side
    76,302.75x = 13,624,054,464.52
  5. Step 5: Solve for x
    x = 13,624,054,464.52/76,302.75
  6. Step 6: Final answer
    x = 178,552.60

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.