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Finding the Third Proportional to 76,312.97 and 162,757.69

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Solution

The third proportional to 76,312.97 and 162,757.69 is: 347,124.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,312.97 : 162,757.69 = 162,757.69 : x
  2. Step 2: Convert to fraction form
    76,312.97/162,757.69 = 162,757.69/x
  3. Step 3: Cross multiply
    76,312.97x = 162,757.69 × 162,757.69
  4. Step 4: Simplify right side
    76,312.97x = 26,490,064,840.35
  5. Step 5: Solve for x
    x = 26,490,064,840.35/76,312.97
  6. Step 6: Final answer
    x = 347,124.02

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.