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Finding the Third Proportional to 76,475.81 and 164,025.84

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Solution

The third proportional to 76,475.81 and 164,025.84 is: 351,803.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,475.81 : 164,025.84 = 164,025.84 : x
  2. Step 2: Convert to fraction form
    76,475.81/164,025.84 = 164,025.84/x
  3. Step 3: Cross multiply
    76,475.81x = 164,025.84 × 164,025.84
  4. Step 4: Simplify right side
    76,475.81x = 26,904,477,417.90
  5. Step 5: Solve for x
    x = 26,904,477,417.90/76,475.81
  6. Step 6: Final answer
    x = 351,803.75

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.