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Finding the Third Proportional to 60,840 and 82,044

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Solution

The third proportional to 60,840 and 82,044 is: 110,638.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,840 : 82,044 = 82,044 : x
  2. Step 2: Convert to fraction form
    60,840/82,044 = 82,044/x
  3. Step 3: Cross multiply
    60,840x = 82,044 × 82,044
  4. Step 4: Simplify right side
    60,840x = 6,731,217,936
  5. Step 5: Solve for x
    x = 6,731,217,936/60,840
  6. Step 6: Final answer
    x = 110,638.03

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.