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Finding the Third Proportional to 57,816 and 91,611

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Solution

The third proportional to 57,816 and 91,611 is: 145,160.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,816 : 91,611 = 91,611 : x
  2. Step 2: Convert to fraction form
    57,816/91,611 = 91,611/x
  3. Step 3: Cross multiply
    57,816x = 91,611 × 91,611
  4. Step 4: Simplify right side
    57,816x = 8,392,575,321
  5. Step 5: Solve for x
    x = 8,392,575,321/57,816
  6. Step 6: Final answer
    x = 145,160.08

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.