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Finding the Third Proportional to 61,056 and 91,467

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Solution

The third proportional to 61,056 and 91,467 is: 137,025.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,056 : 91,467 = 91,467 : x
  2. Step 2: Convert to fraction form
    61,056/91,467 = 91,467/x
  3. Step 3: Cross multiply
    61,056x = 91,467 × 91,467
  4. Step 4: Simplify right side
    61,056x = 8,366,212,089
  5. Step 5: Solve for x
    x = 8,366,212,089/61,056
  6. Step 6: Final answer
    x = 137,025.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.