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Finding the Third Proportional to 55,172 and 87,404

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Solution

The third proportional to 55,172 and 87,404 is: 138,466.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,172 : 87,404 = 87,404 : x
  2. Step 2: Convert to fraction form
    55,172/87,404 = 87,404/x
  3. Step 3: Cross multiply
    55,172x = 87,404 × 87,404
  4. Step 4: Simplify right side
    55,172x = 7,639,459,216
  5. Step 5: Solve for x
    x = 7,639,459,216/55,172
  6. Step 6: Final answer
    x = 138,466.24

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.