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Finding the Third Proportional to 57,602 and 94,059

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Solution

The third proportional to 57,602 and 94,059 is: 153,590.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,602 : 94,059 = 94,059 : x
  2. Step 2: Convert to fraction form
    57,602/94,059 = 94,059/x
  3. Step 3: Cross multiply
    57,602x = 94,059 × 94,059
  4. Step 4: Simplify right side
    57,602x = 8,847,095,481
  5. Step 5: Solve for x
    x = 8,847,095,481/57,602
  6. Step 6: Final answer
    x = 153,590.07

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.