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Finding the Third Proportional to 61,559 and 94,205

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Solution

The third proportional to 61,559 and 94,205 is: 144,163.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,559 : 94,205 = 94,205 : x
  2. Step 2: Convert to fraction form
    61,559/94,205 = 94,205/x
  3. Step 3: Cross multiply
    61,559x = 94,205 × 94,205
  4. Step 4: Simplify right side
    61,559x = 8,874,582,025
  5. Step 5: Solve for x
    x = 8,874,582,025/61,559
  6. Step 6: Final answer
    x = 144,163.84

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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.