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Finding the Third Proportional to 58,326 and 89,205

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Solution

The third proportional to 58,326 and 89,205 is: 136,431.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,326 : 89,205 = 89,205 : x
  2. Step 2: Convert to fraction form
    58,326/89,205 = 89,205/x
  3. Step 3: Cross multiply
    58,326x = 89,205 × 89,205
  4. Step 4: Simplify right side
    58,326x = 7,957,532,025
  5. Step 5: Solve for x
    x = 7,957,532,025/58,326
  6. Step 6: Final answer
    x = 136,431.99

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Why These Related Problems?

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