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Finding the Third Proportional to 47,160 and 73,611

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Solution

The third proportional to 47,160 and 73,611 is: 114,897.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,160 : 73,611 = 73,611 : x
  2. Step 2: Convert to fraction form
    47,160/73,611 = 73,611/x
  3. Step 3: Cross multiply
    47,160x = 73,611 × 73,611
  4. Step 4: Simplify right side
    47,160x = 5,418,579,321
  5. Step 5: Solve for x
    x = 5,418,579,321/47,160
  6. Step 6: Final answer
    x = 114,897.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.