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Finding the Third Proportional to 55,170 and 82,737

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Solution

The third proportional to 55,170 and 82,737 is: 124,078.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,170 : 82,737 = 82,737 : x
  2. Step 2: Convert to fraction form
    55,170/82,737 = 82,737/x
  3. Step 3: Cross multiply
    55,170x = 82,737 × 82,737
  4. Step 4: Simplify right side
    55,170x = 6,845,411,169
  5. Step 5: Solve for x
    x = 6,845,411,169/55,170
  6. Step 6: Final answer
    x = 124,078.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.