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Finding the Third Proportional to 55,916 and 82,288

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Solution

The third proportional to 55,916 and 82,288 is: 121,097.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,916 : 82,288 = 82,288 : x
  2. Step 2: Convert to fraction form
    55,916/82,288 = 82,288/x
  3. Step 3: Cross multiply
    55,916x = 82,288 × 82,288
  4. Step 4: Simplify right side
    55,916x = 6,771,314,944
  5. Step 5: Solve for x
    x = 6,771,314,944/55,916
  6. Step 6: Final answer
    x = 121,097.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.