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Finding the Third Proportional to 76,549.50 and 162,495

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Solution

The third proportional to 76,549.50 and 162,495 is: 344,935.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,549.50 : 162,495 = 162,495 : x
  2. Step 2: Convert to fraction form
    76,549.50/162,495 = 162,495/x
  3. Step 3: Cross multiply
    76,549.50x = 162,495 × 162,495
  4. Step 4: Simplify right side
    76,549.50x = 26,404,625,025
  5. Step 5: Solve for x
    x = 26,404,625,025/76,549.50
  6. Step 6: Final answer
    x = 344,935.30

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.