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Finding the Third Proportional to 81,026 and 122,659

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Solution

The third proportional to 81,026 and 122,659 is: 185,683.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,026 : 122,659 = 122,659 : x
  2. Step 2: Convert to fraction form
    81,026/122,659 = 122,659/x
  3. Step 3: Cross multiply
    81,026x = 122,659 × 122,659
  4. Step 4: Simplify right side
    81,026x = 15,045,230,281
  5. Step 5: Solve for x
    x = 15,045,230,281/81,026
  6. Step 6: Final answer
    x = 185,683.98

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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.