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Finding the Third Proportional to 55,964 and 85,404

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Solution

The third proportional to 55,964 and 85,404 is: 130,330.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,964 : 85,404 = 85,404 : x
  2. Step 2: Convert to fraction form
    55,964/85,404 = 85,404/x
  3. Step 3: Cross multiply
    55,964x = 85,404 × 85,404
  4. Step 4: Simplify right side
    55,964x = 7,293,843,216
  5. Step 5: Solve for x
    x = 7,293,843,216/55,964
  6. Step 6: Final answer
    x = 130,330.98

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.