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Finding the Third Proportional to 26,178 and 56,964

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Solution

The third proportional to 26,178 and 56,964 is: 123,955.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,178 : 56,964 = 56,964 : x
  2. Step 2: Convert to fraction form
    26,178/56,964 = 56,964/x
  3. Step 3: Cross multiply
    26,178x = 56,964 × 56,964
  4. Step 4: Simplify right side
    26,178x = 3,244,897,296
  5. Step 5: Solve for x
    x = 3,244,897,296/26,178
  6. Step 6: Final answer
    x = 123,955.13

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Why These Related Problems?

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