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Finding the Third Proportional to 60,955 and 81,529

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Solution

The third proportional to 60,955 and 81,529 is: 109,047.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,955 : 81,529 = 81,529 : x
  2. Step 2: Convert to fraction form
    60,955/81,529 = 81,529/x
  3. Step 3: Cross multiply
    60,955x = 81,529 × 81,529
  4. Step 4: Simplify right side
    60,955x = 6,646,977,841
  5. Step 5: Solve for x
    x = 6,646,977,841/60,955
  6. Step 6: Final answer
    x = 109,047.29

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.