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Finding the Third Proportional to 76,320.56 and 116,462.81

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Solution

The third proportional to 76,320.56 and 116,462.81 is: 177,718.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,320.56 : 116,462.81 = 116,462.81 : x
  2. Step 2: Convert to fraction form
    76,320.56/116,462.81 = 116,462.81/x
  3. Step 3: Cross multiply
    76,320.56x = 116,462.81 × 116,462.81
  4. Step 4: Simplify right side
    76,320.56x = 13,563,586,695.41
  5. Step 5: Solve for x
    x = 13,563,586,695.41/76,320.56
  6. Step 6: Final answer
    x = 177,718.64

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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.