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Finding the Third Proportional to 56,687.50 and 81,946

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Solution

The third proportional to 56,687.50 and 81,946 is: 118,459.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,687.50 : 81,946 = 81,946 : x
  2. Step 2: Convert to fraction form
    56,687.50/81,946 = 81,946/x
  3. Step 3: Cross multiply
    56,687.50x = 81,946 × 81,946
  4. Step 4: Simplify right side
    56,687.50x = 6,715,146,916
  5. Step 5: Solve for x
    x = 6,715,146,916/56,687.50
  6. Step 6: Final answer
    x = 118,459.04

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.