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Finding the Third Proportional to 55,706 and 82,875

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Solution

The third proportional to 55,706 and 82,875 is: 123,294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,706 : 82,875 = 82,875 : x
  2. Step 2: Convert to fraction form
    55,706/82,875 = 82,875/x
  3. Step 3: Cross multiply
    55,706x = 82,875 × 82,875
  4. Step 4: Simplify right side
    55,706x = 6,868,265,625
  5. Step 5: Solve for x
    x = 6,868,265,625/55,706
  6. Step 6: Final answer
    x = 123,294.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.