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Finding the Third Proportional to 40,263 and 85,711.50

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Solution

The third proportional to 40,263 and 85,711.50 is: 182,461.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,263 : 85,711.50 = 85,711.50 : x
  2. Step 2: Convert to fraction form
    40,263/85,711.50 = 85,711.50/x
  3. Step 3: Cross multiply
    40,263x = 85,711.50 × 85,711.50
  4. Step 4: Simplify right side
    40,263x = 7,346,461,232.25
  5. Step 5: Solve for x
    x = 7,346,461,232.25/40,263
  6. Step 6: Final answer
    x = 182,461.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.