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Finding the Third Proportional to 85,926 and 130,077

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Solution

The third proportional to 85,926 and 130,077 is: 196,913.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,926 : 130,077 = 130,077 : x
  2. Step 2: Convert to fraction form
    85,926/130,077 = 130,077/x
  3. Step 3: Cross multiply
    85,926x = 130,077 × 130,077
  4. Step 4: Simplify right side
    85,926x = 16,920,025,929
  5. Step 5: Solve for x
    x = 16,920,025,929/85,926
  6. Step 6: Final answer
    x = 196,913.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.