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Finding the Third Proportional to 74,715.75 and 162,567

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Solution

The third proportional to 74,715.75 and 162,567 is: 353,714.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,715.75 : 162,567 = 162,567 : x
  2. Step 2: Convert to fraction form
    74,715.75/162,567 = 162,567/x
  3. Step 3: Cross multiply
    74,715.75x = 162,567 × 162,567
  4. Step 4: Simplify right side
    74,715.75x = 26,428,029,489
  5. Step 5: Solve for x
    x = 26,428,029,489/74,715.75
  6. Step 6: Final answer
    x = 353,714.30

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.