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Finding the Third Proportional to 40,077 and 85,713

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Solution

The third proportional to 40,077 and 85,713 is: 183,315.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,077 : 85,713 = 85,713 : x
  2. Step 2: Convert to fraction form
    40,077/85,713 = 85,713/x
  3. Step 3: Cross multiply
    40,077x = 85,713 × 85,713
  4. Step 4: Simplify right side
    40,077x = 7,346,718,369
  5. Step 5: Solve for x
    x = 7,346,718,369/40,077
  6. Step 6: Final answer
    x = 183,315.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.